What is the solution for y^{''}-5y^'+6y=36t ?

The solution for y^{''}-5y^'+6y=36t is y=c_{1}e^{3t}+c_{2}e^{2t}+6t+5

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y^{''}-5y^'+6y=36t

y^{^{''}} - 5 y^{^{'}} + 6 y = 36 t

y = c_{1} e^{3 t} + c_{2} e^{2 t} + 6 t + 5

Solution steps

y^{''} (t) - 5 y^{'} (t) + 6 y = 36 t

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{2 t} + 6 t + 5

y = c_{1} e^{3 t} + c_{2} e^{2 t} + 6 t + 5

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What is the solution for y^{''}-5y^'+6y=36t ?
The solution for y^{''}-5y^'+6y=36t is y=c_{1}e^{3t}+c_{2}e^{2t}+6t+5