Find the general solution to the equation y" – y' – 2y=-et

The corresponding homogeneous ODE is

with characteristic equation

with roots at and , so the characteristic solution is

For the non-homogeneous ODE, assume a particular solution of the form

Substituting and its derivatives into the ODE gives

Then the ODE has the general solution

answer: 7270

step-by-step explanation:

{3 + i, 3 - i, 3, -1}

step-by-step explanation: