Y"+4y = 8 sin 2x. trial solution using annihilator technique
linear algebra and differential equations
i am so confused why would you multiple by x up(x)

A second order linear, non - homogeneous ODE has a form of

The general solution to,

Can be written as,

Where is a solution to the homogeneous ODE and the particular solution, function that satisfies the non - homogeneous equation.

We can solve by rewriting the equation,

Which simplifies to,

From here we get two solutions,

So the form here refines,

The same thing we do with to get form of,

From here the final form emerges,

Hope this helps.

r3t40

i am thinking c. sorry if im wrong .

step-by-step explanation: