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Beliebt Rechnen >

y^{''}+2y^'+2y=5cos(3t)-20sin(3t)

Lösung

y^{^{''}} + 2 y^{^{'}} + 2 y = 5 cos (3 t) - 20 sin (3 t)

Lösung

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

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) + 2 y = 5 cos (3 t) - 20 sin (3 t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

tangent f(x)=sqrt(-x^2+25),\at x=3

t an g e n t f (x) = - x^{2} + 25, at x = 3

integral of (1+2x)^{-1}

\int (1 + 2 x)^{- 1} d x

integral from 0 to infinity of 1/(x^2+4)

\int_{0}^{\infty} \frac{1}{x ^{2} + 4} d x

tangent x^4e^{-x}

t an g e n t x^{4} e^{- x}

derivative y=e^{2ex}

d er i v a t i v e y = e^{2 e x}