What is the solution for y^{''}-6y^'+10y=0 ?

The solution for y^{''}-6y^'+10y=0 is y=e^{3t}(c_{1}cos(t)+c_{2}sin(t))

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y^{''}-6y^'+10y=0

y^{^{''}} - 6 y^{^{'}} + 10 y = 0

y = e^{3 t} (c_{1} cos (t) + c_{2} sin (t))

Solution steps

y^{''} (t) - 6 y^{'} (t) + 10 y = 0

Solve linear ODE:

y = e^{3 t} (c_{1} cos (t) + c_{2} sin (t))

y = e^{3 t} (c_{1} cos (t) + c_{2} sin (t))

What is the solution for y^{''}-6y^'+10y=0 ?
The solution for y^{''}-6y^'+10y=0 is y=e^{3t}(c_{1}cos(t)+c_{2}sin(t))