Question

ODE
x= -lnt , y= c1t + c2t^2 -- y''+3y'+2y=0

Answer 1

You may start like this
\[x = -\ln t \implies t = e^{-x}\]

plug this in the next equation

Answer 2

\[y = c_1e^{-x} + c_2e^{-2x}\]

differentiate twice and eliminate constants

Answer 3

okay i get it