Determine the general solution of the given differential equations): | (A – 2xy) dx + 3x²dy = 0 a.

Q: Solve the given differential equation by integrating factor method: 8ху dx + (4y + 9х?)dy 3D 0

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Q: dy dx -y dx + (x+ /xy) dy =e (x+/xy

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Q: Qui Solve the following ordinary differential equations: x=5y³x³ de 2) (3y³-x¹)dx= 3xy¹dy

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Solve the following differential equation Integrating Factor by Inspection: 1. (2y-3x)dx+xdy=0

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Q: Solve the following differential equation: (3x°y+2xy)dx+(x'+x +2y)dy 0

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Q: I Solve the differential equations ( xy -6x²) dy - ( 2y2 9xy) dx when x=1, Y=

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Q: dy %3D ху + 3х — 2у — 6 dx -

A: We have dydx=xy+3x-2y-6 Now, we can write it as…

Q: Provide a step-by-step solution to the following differential equation (linear equation) (y-x +…

A: Solution:

Q: Solve the following first order differential equations: (xy – 2x? )dy - (y + 2xy)dx = 0.

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Q: Find the differential equation that corresponds to the following solution. Give your answer both in…

A: The given solution is: y=C1 sin(4x)+C2 cos(4x)+C3 x sin(4x)+C4 x cos(4x)

Q: (3 şiny-5x) dx + 2x²cotydy = 0 hint: let 2 =sinu

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Q: 3 (d²x)². 7 2 y (dx)² + y ² (dx) ² + 3y || 5x

A: Order of a differential equation  The order of the differential equation is highest order of the…

Q: Solve 4x+ 4x+6y +5 dy dx 3y+2x+4

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Q: Identify the type of differential equation (noting the best way to solve them): xy + y = =/=/2 y²

A: The given differential equation is xy'+y=1y2 We have to identify the type of given differential…

Q: Determine whether the differential equation is separable. (xy3+5y3)dy-2xdx=0

A: The given differential equation is .We have to determine whether the differential equation is…

Q: Classify the following differential equations according to type, order, degree, and linearity. Also,…

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Q: Solve the given differential equation : dy x² – 2xy = 3y*, y(1)=1/2 dx

A: We will find out the required solution.

Q: Solve the following differential equations : X 2y + v² 2x (x² + 5)² dx + (x+y)dy = 0

A: First we will check if the given differential equation is exactly if it is not exactly then we will…

Q: 1 (ysin x + y?) dх — + cosx – 2xy) dy = 0 - \y²+1

A: Consider a differential equation of the form Mx,ydx+Nx,ydy=0. If ∂M∂y=∂N∂x, then the differential…