Solve the following DEs 1.) dy/dx + y =e^3x 2.) x^2y' +xy = 1 3,) x(dy/dx)-y...

Solve the following DEs

1.) dy/dx + y =e^3x

2.) x^2y' +xy = 1

3,) x(dy/dx)-y = x^2 sin(x)

4.) y' - 2y = e^2x, y(0) = 2

5.) cos(x)(dy/dx) + ysin(x) = 1, y(pi/4) = 0

Expert Solution

All are linear differential equations, so we first need to find the integrating factor then the general solution by use the direct formula. The solution is given below...

Colby Messinger answered 2 years ago

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