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Beliebt Rechnen >

y^{''}+8y^'+16y=1521e^{2t}cos(9t)

Lösung

y^{^{''}} + 8 y^{^{'}} + 16 y = 1521 e^{2 t} cos (9 t)

Lösung

y = c_{1} e^{- 4 t} + c_{2} t e^{- 4 t} + 12 e^{2 t} sin (9 t) - 5 e^{2 t} cos (9 t)

Schritte zur Lösung

y^{''} (t) + 8 y^{'} (t) + 16 y = 1521 e^{2 t} cos (9 t)

Solve linear ODE:

y = c_{1} e^{- 4 t} + c_{2} t e^{- 4 t} + 12 e^{2 t} sin (9 t) - 5 e^{2 t} cos (9 t)

y = c_{1} e^{- 4 t} + c_{2} t e^{- 4 t} + 12 e^{2 t} sin (9 t) - 5 e^{2 t} cos (9 t)

Graph

Beliebte Beispiele

laplacetransform cos^2(1t)

l a pl a ce t r an s f or m cos^{2} (1 t)

tangent f(x)= 1/(x-1),\at x=5

t an g e n t f (x) = \frac{1}{x - 1}, at x = 5

derivative of (ln(x)/(x^3))

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

y^{^{'}} = 2 x y + x

derivative of (2x-1^{3/2})

\frac{d}{d x} ((2 x - 1)^{\frac{3}{2}})