Hi i need some help with solving this equation(adsbygoogle = window.adsbygoogle || []).push({});

2 d^{2}y/dt^{2}+ dy/dt +10y = 3sin(9t) - 8e^{-2t}- 7

when y=0 dy/dx = 10 t=0

The bit i am not sure about is the -8e^{-2t}- 7 bit on the right side because i only know how to deal with 2nd order differential equations when they are of the form a d^{2}y/dt^{2}+b dy/dx +cy = r(t).

any help would be much appreciated.

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# 2nd order differential equation

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