What is the solution for y^{''}-9y^'=7t ?

The solution for y^{''}-9y^'=7t is y=c_{1}e^{9t}+c_{2}-(7t^2)/(18)-(7t)/(81)

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y^{''}-9y^'=7t

y^{^{''}} - 9 y^{^{'}} = 7 t

y = c_{1} e^{9 t} + c_{2} - \frac{7 t ^{2}}{18} - \frac{7 t}{81}

Solution steps

y^{''} (t) - 9 y^{'} (t) = 7 t

Solve linear ODE:

y = c_{1} e^{9 t} + c_{2} - \frac{7 t ^{2}}{18} - \frac{7 t}{81}

y = c_{1} e^{9 t} + c_{2} - \frac{7 t ^{2}}{18} - \frac{7 t}{81}

What is the solution for y^{''}-9y^'=7t ?
The solution for y^{''}-9y^'=7t is y=c_{1}e^{9t}+c_{2}-(7t^2)/(18)-(7t)/(81)