What is the solution for 121y^{''}-154y^'+74y=0 ?

The solution for 121y^{''}-154y^'+74y=0 is y=e^{(7t)/(11)}(c_{1}cos((5t)/(11))+c_{2}sin((5t)/(11)))

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121y^{''}-154y^'+74y=0

121 y^{^{''}} - 154 y^{^{'}} + 74 y = 0

y = e^{\frac{7 t}{11}} (c_{1} cos (\frac{5 t}{11}) + c_{2} sin (\frac{5 t}{11}))

Solution steps

121 y^{''} (t) - 154 y^{'} (t) + 74 y = 0

Solve linear ODE:

y = e^{\frac{7 t}{11}} (c_{1} cos (\frac{5 t}{11}) + c_{2} sin (\frac{5 t}{11}))

y = e^{\frac{7 t}{11}} (c_{1} cos (\frac{5 t}{11}) + c_{2} sin (\frac{5 t}{11}))

\frac{d ^{2} y}{d x ^{2}} = - a^{2} y

y^{^{''}} + 4 y = 0, y (0) = 2, y^{^{'}} (0) = 2

49 y^{^{''}} - 126 y^{^{'}} + 117 y = 0, y (4) = 2, y^{^{'}} (4) = 2

y^{^{''}} - 3 y^{^{'}} = 0, y (0) = 6 - 6 e^{3}, y (1) = 0

2 y^{^{''}} - 10 y^{^{'}} + 12 y = 0

What is the solution for 121y^{''}-154y^'+74y=0 ?
The solution for 121y^{''}-154y^'+74y=0 is y=e^{(7t)/(11)}(c_{1}cos((5t)/(11))+c_{2}sin((5t)/(11)))