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Beliebt Rechnen >

(d^2x)/(dt^2)+81x=8sin(9t)

Lösung

\frac{d ^{2} x}{d t ^{2}} + 81 x = 8 sin (9 t)

Lösung

x = c_{1} cos (9 t) + c_{2} sin (9 t) - \frac{4 t cos ( 9 t )}{9}

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 81 x = 8 sin (9 t)

Solve linear ODE:

x = c_{1} cos (9 t) + c_{2} sin (9 t) - \frac{4 t cos ( 9 t )}{9}

x = c_{1} cos (9 t) + c_{2} sin (9 t) - \frac{4 t cos ( 9 t )}{9}

Graph

Beliebte Beispiele

y^{^{''}} - y^{^{'}} + 4 = 0

x^{''}-9x=2t^2-cos(t)

x^{^{''}} - 9 x = 2 t^{2} - cos (t)

y^{''}+4y^'+4y=e^{-t}

y^{^{''}} + 4 y^{^{'}} + 4 y = e^{- t}

3y^'+2y^{''}=-10cos(3.14*t/(0.2))

3 y^{^{'}} + 2 y^{^{''}} = - 10 cos (3.14 \cdot \frac{t}{0.2})

(d^2y)/(dx^2)-5(dy)/(dx)-14y=7+4x

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} - 14 y = 7 + 4 x