What is the solution for y^{''}-10y^'+74y=0 ?

The solution for y^{''}-10y^'+74y=0 is y=e^{5t}(c_{1}cos(7t)+c_{2}sin(7t))

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y^{''}-10y^'+74y=0

y^{^{''}} - 10 y^{^{'}} + 74 y = 0

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

Solution steps

y^{''} (t) - 10 y^{'} (t) + 74 y = 0

Solve linear ODE:

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

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

\frac{e ^{8 x}}{x}

n = 1 \sum \infty 3 (\frac{1}{3})^{n - 1}

\frac{d ^{3}}{d x ^{3}} (x^{4})

\frac{\partial}{\partial x} (x^{4} e y^{z})

\frac{d}{d x} (\frac{( 4 x ^{2} - \frac{1}{2} x )}{( 9 x + 8 )})

What is the solution for y^{''}-10y^'+74y=0 ?
The solution for y^{''}-10y^'+74y=0 is y=e^{5t}(c_{1}cos(7t)+c_{2}sin(7t))