Solve the equation with homogeneous coefficients. (3y² – x²)dx – 2xydy = 0

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A: Given the differential equation          2x-10y3dydx+y=0

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A: This is first order ordinary differential equation.

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A: Solution of given question is written in below steps.

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A:

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Q: Solve the diff. equation y'''- y''- y'+y=2e-t+3sint

A: A differential equation that involves y, y' ,y '' ,y''' and variable 't' . The general solution for…

Q: Find dy. y = 33 + 10x4 – 5x5 dy = (Simplify your answer.)

A:

Q: Determine whether the equation (3x + 2y)dx + (2.x + y)dy = 0 is exact. Find the solution if it is…

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Q: Solve (1+xy)x dy + (1- xy)y dx 0. %3D

A: By using simple differential and integration

Q: Solve by undetermined coefficients. y" – y' – 2y = 9e2" – 8x - |

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Q: . Solve the first order equation (3z²y + 2ry)dx + (x³ + x² + 2y)dy = 0.

A: Solution

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A:

Q: Solve the equation (3y4 + 1) dx + 4xy3 dy

A:

Q: O Solve (ex+y)dx+(2+x+ye¹)dy=0

A: The given problem is to solve the given ordinary differential equation. We have to the exactness of…

Q: Find a value for the constant A so that: 4(3x + 5)' dx : (3х + 5)" + C A

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Q: Solve (2xy-2xy- = 0 4xy² +2x) dx + (3x2y + 4y) dy %3D

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Q: Find the value of x² – 9x + 14 dx =

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A: