2) Solve the initial-value problem (x² + 2y²) dy : dx = xy with y(-1)=1.

Q: Solve x2y dx=(x3+y3) dy

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Q: Find d³y/dx³. y(x) 2STENTOR x(x-1) 3

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Q: 3.2 (2x - y²) dxdy

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Q: x3y dx= (x3+y3)dy

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Q: Solve for DE (x + 2y - 3)dx - (2x + 4y - 9) dy = 0

A: In this question,  we solve given DE by substitution methode i. e.  We put some terms in the form of…

Q: 3x(xy - 2)dx + (x³ + 2y)dy = 0; f(1)=2 Find the positive root of y at x=2. Use 2 decimal places.

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Q: Find d2y/dx2 for the equation x=x3y2-3y3

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Q: solve (x + y − 1)dx + (y − x − 5)dy = 0.

A: According to question, Given differential equation, (x + y − 1)dx + (y − x − 5)dy = 0.

Q: Solve (yz + хуz) dx + (zx + хуz) dy + (ху + хуz) dz =

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Q: Solve dy/dx =(4x+y+1)2

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Q: Solve (2x – 1)3y" + (2x – 1)y' - 2y = 8x? – 2x + 3 %3D |

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Q: (b) Solve the IVP (3xy – y²)dx = (xy – x²)dy y(-2) = 3 - %3D %3D

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Q: 3. Solve (2xy – y² + y)dx + (3x² – 4xy + 3x)dy = 0. (Non Exact) 4. Solve the following FOLDE: (2у +…

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Q: Find the solution. (dy/dx) + xy = xy³ A x = (ce-²-1) By = (ce²+1) 7² y = (ce x²-1) x = (ce)² + 1) ²…

A: We have given a differential equation ,  dydx + xy = xy3 Multiply throughout by dx ,  dy + xy dx =…

Q: If dy/dx = 4x/y and y(0) = 5, find an equation for y in terms of x. A x²/2=2y² + 25/2 B. y²/2 =…

A: To solve the following problem

Q: ii) Solve (x D²– 3xD+4) y = x² given that y(1) =1 and %3D - y'(1)= 0.

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Q: Solve (x²+y)dx+(y³+x)dy=0

A: Since, the given differential equation is x2+ydx+y3+xdy=0, we have to find the general solution.

Q: Solve the D.E (X+1) =x(y'い) dメ

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