What is the solution for 3y^{''}-12y^'+87y=0 ?

The solution for 3y^{''}-12y^'+87y=0 is y=e^{2t}(c_{1}cos(5t)+c_{2}sin(5t))

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3y^{''}-12y^'+87y=0

3 y^{^{''}} - 12 y^{^{'}} + 87 y = 0

y = e^{2 t} (c_{1} cos (5 t) + c_{2} sin (5 t))

Solution steps

3 y^{''} (t) - 12 y^{'} (t) + 87 y = 0

Solve linear ODE:

y = e^{2 t} (c_{1} cos (5 t) + c_{2} sin (5 t))

y = e^{2 t} (c_{1} cos (5 t) + c_{2} sin (5 t))

What is the solution for 3y^{''}-12y^'+87y=0 ?
The solution for 3y^{''}-12y^'+87y=0 is y=e^{2t}(c_{1}cos(5t)+c_{2}sin(5t))