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## Homework Statement

Find a value of the constant r such that both e^rt and te^rt are solutions to the ODE

ay''+by'+cy=0

## Homework Equations

## The Attempt at a Solution

can anyone guide me with this question please. Im not sure where to start.

I know that e^rt is always a solution with homogeneous eqns, so in order for te^rt to be

a solution it must equal e^rt

so...

e^rt = te^rt