Solve the ODE by finding an integrating factor for exact equations. (2xy2+3x)dx - 2xydy=0

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Q: Solve this differenttial equation.   By help of integrating factor. (3xy+6y^2).dx+(2x^2+9xy).dy=0

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Q: 3.(Straightforward) Solve the separable ODEs: (a) dy/dx = y/x².

A: Since you have asked a question with multiple parts in a single request we would be answering only…

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A: Given, the equation sin u = -1, we have to solve this equation in [0, 2pi).

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Q: Xy = ý+2xy is DE, solve it:

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Q: The equation ( 3xy2 + 7x3 )dx + ( 4x2y +3√xy )dy = 0 as an integrating factor of the form xk .…

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Q: 4. Solve the ODE using Separation of Variables. X. dy - y = 2x²y dx

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Q: dy ----- + 2xy 2x using the method for linear equations. dx Solve ww-

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A: We are given the differential equation  xdydx+y=2x1-x2y2 we have to use the substitution z=xy.

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Q: Determine whether the equation is exact. Otherwise, find an integrating factor then solve the DE.…

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Q: 1. (2y² + 3x)dx – 2xydy = 0 -

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Q: Solve the nonhomogeneous ODE. x*y" – 2xy' + 2y = x?e-2x

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A: dydx=2y-22-ydy=dx4 Integrating w.r.t. both sides- ∫2-ydy=∫dx4∫2-ydy=x4

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Q: Find an integrating factor. + 2xy + 7y3) + (x?+ y²)y' = 0 u(x) = %3D Solve the given equation.

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Q: x(2x² – 1)" dx After substitution is performed, which of the following is equivalent to

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Q: Using the method of changing independent variable, solve (1+ x)²y" + (1 + x)y' + y = 4 cos(ln(x +…

A: Solve the differential equation            (1+x)2y''+(1+x)y'+y = 4 cos(ln(x+1))

Q: 3. Solve the ODE using Separation of Variables. y². dy = (y² +1) - sin x dx

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Q: Solve the equation (2х + 6) (2y? + 3) dx + 4y(x? + 3x + 2) dy %3D 0

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Q: solve the given difference equation in terms of the initial value y0. Describe the behavior of the…

A: Given differential equation is, yn+1=-0.9yn

Q: (2y² + 3x) dx + 2xydy = 0 Determine an appropriate integrating factor (x) or (y) that transforms the…

A: Solution :

Q: Using Integrating Factor by Inspection, solve: (y − xy²) dx + (x + x²y²) dy = 0

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Q: Solve the equation (1 + x cosy) dx - x²siny dy = 0 using substitution.

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Q: B5. Find the integrating factor by inspection then solve.  y(2xy + 1)dx - xdy = 0

A: find out the integrating factor by inspection and then solve the differential equation.

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Q: FCH)- O -t e Sin 2t dt

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Q: 6. Find the general solution of (D²+D)y=sinx.

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Q: Solve the first ODE and find the value of C constant when v(1)-2 dy 6x2 + 4x + 4 dx 4y

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Q: solve the IVP x2y"+5xy'-12y=0, y(1)=-1, y'(1)=-7

A: We can not solve if we substitute x=lnt , Because this is homogeneous differential equation or…

Q: To integrate x3x² 842 242 Ox we apply integration by parts and in the form u dv, dv is set as: dx'

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Q: PART - B IA. Solve (4xy + 3y? - x)dx + x(x +2y)dy = 0 with y(2)=2. IB. Solve (x²D2 + xD - 1)y =ri

A: Since, you have posted multiple questions. As per guidelines we will solve only first question. If…

Q: The equation ( 3xy2+7x3 )dx + ( 4x2y+3√xy )dy = 0 as an integrating factor of the form xk. Determine…

A: Exact differential equation,