- #1

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## Homework Statement

[tex]\frac{dx}{dt} +\frac{dy}{dt} + y - x = e^{2t}[/tex]

[tex]\frac{d^2x}{dt^2} +\frac{dy}{dt} = 3e^{2t}[/tex]

I am a little stumped on this one. I tried writing it using D as the differential operator d/dt:

D(x+y) +x - y = e

^{2t}

D

^{2}x+Dy = 3e

^{2t}

but that doesn't do anything but change the variables to something else... if I subtract the 1st EQ from second I get

[tex]\frac{d^2x}{dt^2}-\frac{dx}{dt} -y +x = 2e^{2t}[/tex]

But I still have x AND y in here.

Any hints on this?