The differential equation is given

MATHEMATICS · Subjective · IB Diploma Programme · Mathematics: Applications and Interpretation · Calculus · Calculus

Problem

The differential equation

y''-4y'+4y=e^{2x}

is given. Let

y(x)=(Ax^{2}+Bx)e^{2x}

, where

A

and

B

are constants. Find all real values of

A

and

B

for which

y(x)

is a solution.