# Math Help - Higher order Derivative Ques

1. ## Higher order Derivative Ques

show that the equation $f" (x) + 4 f'(x) + 4 f(x) = 0$ is satisfied if $f(x) = (3x-5)e^-2x$

What is this question asking me to do? I know I will need to find the first and second derivative but where does the + 4 part fit in?

show that the equation $f" (x) + 4 f'(x) + 4 f(x) = 0$ is satisfied if $f(x) = (3x-5)e^-2x$

What is this question asking me to do? I know I will need to find the first and second derivative but where does the + 4 part fit in?
Find the y'' and y'.
Then y'' + 4 y' + 4y = 0 So one y'' four of those y' and four y:s must give you 0