What is the solution for y^{''}-y=1.7sin(t) ?

The solution for y^{''}-y=1.7sin(t) is y=c_{1}e^t+c_{2}e^{-t}-0.85sin(t)

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y^{''}-y=1.7sin(t)

y^{^{''}} - y = 1.7 sin (t)

y = c_{1} e^{t} + c_{2} e^{- t} - 0.85 sin (t)

Solution steps

y^{''} (t) - y = 1.7 sin (t)

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- t} - 0.85 sin (t)

y = c_{1} e^{t} + c_{2} e^{- t} - 0.85 sin (t)

What is the solution for y^{''}-y=1.7sin(t) ?
The solution for y^{''}-y=1.7sin(t) is y=c_{1}e^t+c_{2}e^{-t}-0.85sin(t)