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Popular Calculus >

y^{(5)}+9y^'=0

Solution

y^{(5)} + 9 y^{^{'}} = 0

Solution

y = c_{1} + e^{- \frac{3}{2} t} (c_{2} cos (\frac{3}{2} t) + c_{3} sin (\frac{3}{2} t)) + e^{\frac{3}{2} t} (c_{4} cos (\frac{3}{2} t) + c_{5} sin (\frac{3}{2} t))

Solution steps

y^{(5)} + 9 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + e^{- \frac{3}{2} t} (c_{2} cos (\frac{3}{2} t) + c_{3} sin (\frac{3}{2} t)) + e^{\frac{3}{2} t} (c_{4} cos (\frac{3}{2} t) + c_{5} sin (\frac{3}{2} t))

y = c_{1} + e^{- \frac{3}{2} t} (c_{2} cos (\frac{3}{2} t) + c_{3} sin (\frac{3}{2} t)) + e^{\frac{3}{2} t} (c_{4} cos (\frac{3}{2} t) + c_{5} sin (\frac{3}{2} t))

Graph

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Frequently Asked Questions (FAQ)

What is the solution for y^{(5)}+9y^'=0 ?
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