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Beliebt Rechnen >

y^{''}+7y^'+10y=-4sin(3t)

Lösung

y^{^{''}} + 7 y^{^{'}} + 10 y = - 4 sin (3 t)

Lösung

y = c_{1} e^{- 2 t} + c_{2} e^{- 5 t} - \frac{2}{221} sin (3 t) + \frac{42}{221} cos (3 t)

Schritte zur Lösung

y^{''} (t) + 7 y^{'} (t) + 10 y = - 4 sin (3 t)

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- 5 t} - \frac{2}{221} sin (3 t) + \frac{42}{221} cos (3 t)

y = c_{1} e^{- 2 t} + c_{2} e^{- 5 t} - \frac{2}{221} sin (3 t) + \frac{42}{221} cos (3 t)

Graph

Beliebte Beispiele

derivative sin^2(3x)

d er i v a t i v e sin^{2} (3 x)

tangent f(x)=(6x-2)^{1/4},\at x=1

t an g e n t f (x) = (6 x - 2)^{\frac{1}{4}}, at x = 1

d er i v a t i v e \frac{8}{t}

integral of xsin(x)cos(x)

\int x sin (x) cos (x) d x

derivative of (2-x^2)

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