What is the solution for -vy^{''}-ay=c ?

The solution for -vy^{''}-ay=c is y=c_{1}cos(sqrt(a/v)t)+c_{2}sin(sqrt(a/v)t)-c/a

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-vy^{''}-ay=c

- v y^{^{''}} - a y = c

y = c_{1} cos (\frac{a}{v} t) + c_{2} sin (\frac{a}{v} t) - \frac{c}{a}

Solution steps

- v y^{''} (t) - a y = c

Solve linear ODE:

y = c_{1} cos (\frac{a}{v} t) + c_{2} sin (\frac{a}{v} t) - \frac{c}{a}

y = c_{1} cos (\frac{a}{v} t) + c_{2} sin (\frac{a}{v} t) - \frac{c}{a}

What is the solution for -vy^{''}-ay=c ?
The solution for -vy^{''}-ay=c is y=c_{1}cos(sqrt(a/v)t)+c_{2}sin(sqrt(a/v)t)-c/a