Solve the inhomogeneius linear ode by undetermined coefficients
y"+4y=3sin2x

Answer with explanation:

The given non Homogeneous linear differential equation is:

   y" +4 y'=3 Sin 2 x-------(1)

Put , u=y'

Differentiating once

u'=y"

Substituting the value of , y' and y" in equation (1)

⇒u' +4u =3 Sin 2x

This is a type of linear differential equation.

Integrating factor

Multiplying both sides of equation by Integrating factor

where C and are constant of integration.

Replacing , u by , y' in above equation we get the solution of above non homogeneous differential equation