. Find the explicit general solution to the given differential equation. Hint: Linear DE. (2x + 1)y' + y = (2x + 1)Z

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Q: (х? + 2y?)dx — хуdу %3

A: A first order differential equation in two variables can be written in the form dydx=fx,y. This can…

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A: The equation is y = C1x2sin4x+C2x2cos4x

Q: Find the general solution of the differential equation. y" – 15y" + 62y' – 72y = 0. - NOTE: Use c1,…

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Q: Solve the following differential equations. a. (y² – 2xy + 6x)dx – (x² – 2xy + 2)dy = 0 | %3D

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Q: 2. yV + 5y" = 250

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Q: QI- Find the solution of the following differential equation d?y dy + 2 dx? 4x +y = 0

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Q: Find the differential equation corresponding to the family (x + a)? + 2y? = a?, where 'a' is the…

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Q: 4 dx d*y d³y 8 d²y + 16 dx² 12y dx dx3 + 9 y = 0

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Q: Solve the following differential equation by separating variables and solving for the EXPLICIT…

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Q: . Give an example of a nonlinear differential equation of the formy = f (y).

A: Solution: Nonlinear Differential Equation: A nonlinear differential equation is a differential…