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

its c or d   take a lucky guess my dude

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: