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 Use the fact that the given equation is homogeneous $$ \frac{dy}{dx}=\frac{x^28y^2}{3xy} $$ First I multiply the right side by $$ \frac{\frac{1}{x^2}}{\frac{1}{ Stack Exchange Network Stack Exchange network consists of 178 Q&A communities including Stack Overflow , the largest, most trusted online community forFind dy/dx x^23xyy^2=1 Differentiate both sides of the equation Differentiate the left side of the equation Tap for more steps Differentiate Tap for more steps By the Sum Rule, the derivative of with respect to is Differentiate using the Power Rule which states that is whereGet an answer for 'Find dy/dx by implicit differentiation x^25xy3y^2=7' and find homework help for other Math questions at eNotes

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X^2 y^2-3xy=1 find dy/dx-The differential equation is not well defined in (x,y) = (1,1) as you have an expression of the form 0/0 for dy/dx #8 murshid_islam dy/dx= (x^2y^2)/(3xy) The answer is supposed to be (x^2 4y^2)^3(x^2 )= CHere is what I have done x/(3y) y/(3x) = (1/3)(x/y y/x) = (1/3)(1/(y/x) y/x)

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 find the derivative of f given by f x is equal to Sin inverse X assuming it exist Kindly solve the question Please answer this question if x = sin 3 t/(cos 2t) 1/2, y = cos 3 t/(cos 2t) 1/2, find dy/dx explain in great detailDownload Solution PDF u = x log xy x3 y3 3xy = 1 By using total differentiation concept, d u = ( ∂ u ∂ x) d x ( ∂ u ∂ y) d y ⇒ ∂ u ∂ x = ( ∂ u ∂ x) ( ∂ u ∂ y) ( d y d x) u = x log xy Partial differentiating with respect to x ⇒ ∂ u ∂ x = logSimple and best practice solution for Y^2dx(x^23xy4y^2)dy=0 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework

 xy 2 x 2 y 3xy = 0 dx/dx = 1 d/dx(xy 2 x 2 y 3xy) = d0/dx = 0 y 2 2xy(dy/dx) 2xy x 2 (dy/dx) 3y 3x(dy/dx)=0 y 2 2xy 3y = x 2 (dy/dx) 3x(dy/dx) 2xy(dy/dx) dy/dx = (y 2 2xy 3y)/(x 2 3x 2xy) #11 lamerali 62 0 Dick said As long as you understand why you can't cancel that way and promise not to do itCalculus Find dy/dx x^24xyy^2=4 x2 4xy y2 = 4 x 2 − 4 x y y 2 = 4 Differentiate both sides of the equation d dx (x2 4xy y2) = d dx(4) d d x ( x 2 − 4 x y y 2) = d d x ( 4) Differentiate the left side of the equation Tap for more steps Consider the curve given by x^24y^2=73xy a) Show that dy/dx=(3y2x)/(8y3x) b) Show that there is a point P with xcoordinate 3 at which the line tangent to the curve at P is horizontal Find the ycoordinate of P c) Find the calculus 1 Given the curve a Find an expression for the slope of the curve at any point (x, y) on the curve

 x^3 y^3 = 3xy^2, find dy/dx using implicit differentiationAnswer to Find the slope of the tangent line to graph of the function f(x)=3x^2 3xy 7y^2 = 34 at (2,1) By signing up, you'll get thousandsDy dx = x2 3xy y2 x2 By decomposing the numerator into 3 separate terms, we obtain dy dx = x2 x2 3xy x2 y2 x2 = 1 3 y x y x 2 = f(y=x);

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(b) 2 x y dx ( y 2 x 2) dy = 0 Here, M = 2 x y, M y = 2x, N = y 2 x 2, and N x = 2 xNow, ( N x M y) / M = ( 2 x 2 x ) / ( 2 x y) = 2 / yThus, μ = exp ( ∫ 2 dy / y ) = y2 is an integrating factor The transformed equation is ( 2 x / y ) dx ( 1 x 2 y2) dy = 0 Let m = 2 x / y, and n = 1 x 2 y2Then, m y = 2 x y2 = n x, and the new differential equation is exact1 x^4 y^4=162 y^2=3xy5;Solve the ( x 3 y 3 − x y) d y = d x written 53 years ago by aksh_31 ♦ 23k • modified 53 years ago Mumbai University > First Year Engineering > sem 2 > Applied Maths 2 Marks 6 Year 15 ADD COMMENT EDIT 1 Answer

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Click here👆to get an answer to your question ️ Solve (3xy y^2)dx (x^2 xy) dy = 0 , y(1) = 1X(3xy − y 2)dx x(x − y)dy = 0 and we get (3x 2 y − xy 2)dx (x 3 − x 2 y)dy = 0 It should now be exact Let's test it M = 3x 2 y − xy 2 ∂M∂y = 3x 2 − 2xy N = x 3 − x 2 y ∂N∂x = 3x 2 − 2xy ∂M∂y = ∂N∂x So our equation is exact!Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more

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 1 Answer An equation in differential form M ( x, y) dx N (x, y) dy = 0 is said to be homogeneous, if when written in derivative form there exists, a function g such that A homogeneous equation can be transformed into a separable equation by a change of variablesSolution for dy/dx = 3xy/(x^2y^2) Q For the data shown, determine the constants and/or coefficients for the discrete Fourier transform A Step 1 The kth discrete Fourier transform (DFT) coefficient for the set of N xvalues corresponding Prove that x^2 y^2 = c(x^2 y^2)^2 is the general solution of the differential equation (x^2 3xy^2) dx = (y^3 3x^2y)dy, where C is a parameter asked in Mathematics by Samantha ( 3k points)

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 Get an answer for 'solve the differential equation (2xy3y^2)dx(2xyx^2)dy=0 ' and find homework help for other Math questions at eNotes Search this site Go Ask aNow we solve in the same way as the previous examples I(x, y) = ∫ M(x, yWhen x=2 Who are the experts?

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{eq}(1 x^2) \dfrac{dy}{dx} 3xy = 5x {/eq}, given that {eq}y = 2 {/eq} when {eq}x = 1 {/eq} Particular Solution The solution to the differential equation in which the initial condition is Transcript Ex 95, 4 show that the given differential equation is homogeneous and solve each of them ( ^2 ^2 ) 2 =0 Step 1 Find / ( ^2 ^2 ) 2 =0 2xy dy = ( ^2 ^2 ) dx 2xy dy = ( ^2 ^2 ) dx / = ( ^2 ^2)/2 Step 2 Putting F(x, y) = / and finding F( x, y) F(x, y) = ( ^2 ^2)/2 F( x, y) = (( )^2 ( )^2)/(2Implicit Differentiation Calculator with Steps The implicit differentiation calculator will find the first and second derivatives of an implicit function treating either y as a function of x or x as a function of y, with steps shown Function f ( x, y) = g ( x, y) Differentiate with respect to x y Find the second derivative?

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Implicit differentiation can help us solve inverse functions The general pattern is Start with the inverse equation in explicit form Example y = sin −1 (x) Rewrite it in noninverse mode Example x = sin (y) Differentiate this function with respect to x on both sides Solve for dy/dx Explanation differentiate implicitly with respect to x the term 3xy is differentiated using the product rule ⇒ 2x 3(x dy dx y1) 2y dy dx = 0 ⇒ 2x 3x dy dx 3y 2y dy dx = 0 ⇒ dy dx (3x 2y) = −2x − 3y ⇒ dy dx = − 2x 3y 3x 2ySteps for Solving Linear Equation ( x ^ { 3 } y ^ { 2 } ) d x 3 x y ^ { 2 } d y = 0 ( x 3 y 2) d x − 3 x y 2 d y = 0 To multiply powers of the same base, add their exponents Add 2 and 1 to get 3 To multiply powers of the same base, add their exponents Add 2 and 1 to get 3

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Click here👆to get an answer to your question ️ Find dydx , where x^2 y^2 3xy = 1 murshid_islam said If the boundary condition was , both and would be correct solutions, right?Where f(v) = 1 3v v2 We can see that this equation is homogeneous Applying our solution formula, we obtain an equation for v = y=x, Z 1 x dx Z 1 v (1 3v v2) dv = 0 Evaluating the rst

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Answer to find dy/dx;Answer Multiplying both sides by x one obtain the equation M(x,y)dx N(x,y)dy =0, with M(x,y) = 3x^2y xy^2 , N/x,y) = x^3 x^2y Now we have an exact equation because dM/dy = dN/dx = 3x^2 2xy We know that exist the general integral F(x,y) = C such that (1) dF/dx = M = 3x^2y xy^2Simple and best practice solution for (x^23xyy^2)dxx^2dy=0 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework If it's not what You are looking for type in the equation solver your own equation and let us solve it

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Ydy F x 1 dx 1 F x 2 dx 2 =0 then set all the differentials except the ones in question equal to zero (ie set dx 2 =0)which leaves F ydy F x1 dx 1 =0 or F ydy = −F x 1 dx 1 dividing both sides by F y and dx 1 yields dy dx 1 = − F x 1 F y which is equal to ∂y ∂x 1 from the implicit function theorem 6 Transcript Ex 95, 5 show that the given differential equation is homogeneous and solve each of them 𝑥^2 𝑑𝑦/𝑑𝑥=𝑥^2−2𝑦^2𝑥𝑦 Step 1 Find 𝑑𝑦/𝑑𝑥 𝑥^2 𝑑𝑦/𝑑𝑥=𝑥^2−2𝑦^2𝑥𝑦 𝑑𝑦/𝑑𝑥= (𝑥^2 − 2𝑦^2 𝑥𝑦)/𝑥^2 𝑑𝑦/𝑑𝑥= 1−(2𝑦^2)/𝑥^2 𝑥𝑦/𝑥^2 𝑑𝑦/𝑑𝑥= 1−(2𝑦^2 Stack Exchange network consists of 178 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack Exchange

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 dy/dx = (3x²y y²)/ (2x³ 3xy) The rule for implicit differentiation in two variables is dy/dx = Fx/Fy where F (x, y) = 0 is the solution, and Fx, Fy are partial derivatives as the ratio is (3x²y y²)/ (2x³ 3xy) Fx is proportional to 3x²y y² and Fy to 2x³ 3xy I mean that num and den can be multiplied for a factor such Question find the particular solution indicated y2 dx (x2 3xy 4y2) dy = 0;When x = 2, y = 1 Answer E AID 2475 Given equation is …… (1) We are to need to find the particular solution indicated The function is said to be homogeneous of degree in and, if and only if,

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Experts are tested by Chegg as specialists in their subject areaFind dy/dx given x^3 3 x^2 y 2 x y^2 = 12 Natural Language;Calculus use implicit differentiation to find dz/dx given x^2zsin(xyz)=0 You can view more similar questions or ask a new question

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For the differential equation `(x^2y^2)dx2xy dy=0`, which of the following are true (A) solution is `x^2y^2=cx` (B) `x^2y^2=cx` `x^2y^2=xc` (D) `y find the particular solution of given differential equation 3xy y 2 dx x 2 xy dy 0 at x 1 y 1 Mathematics TopperLearningcom d1ksg633 Use implicit differentiation to find dz/dy for yz = ln (xz) I am unsure of how to deal with the right side specifically Calculus Find dy/dx by implicit differentiation x^22xyy^3 = c Thank you!

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Answer (1 of 5) Rewrite as dy/dx = (2x^2 3y^2)/3xy Multiply the RS of the equation by (1/×^2)/(1/x^2), giving dy/dx = —(2 3(y/x)^2)/(3(y/x)) Let v = y/xExtended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, financeWe have, \ \left( x^2 3xy y^2 \right) dx x^2 dy = 0\ \ \Rightarrow \frac{dy}{dx} = \frac{x^2 3xy y^2}{x^2}\ This is a homogeneous differential equation

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