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Beliebt Rechnen >

x^{''}+9x=8sin(3t)

Lösung

x^{^{''}} + 9 x = 8 sin (3 t)

Lösung

x = c_{1} cos (3 t) + c_{2} sin (3 t) - \frac{4 t cos ( 3 t )}{3}

Schritte zur Lösung

x^{''} (t) + 9 x = 8 sin (3 t)

Solve linear ODE:

x = c_{1} cos (3 t) + c_{2} sin (3 t) - \frac{4 t cos ( 3 t )}{3}

x = c_{1} cos (3 t) + c_{2} sin (3 t) - \frac{4 t cos ( 3 t )}{3}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-4y=10e^{3x}

\frac{d ^{2} y}{d x ^{2}} - 4 y = 10 e^{3 x}

y^{''}+8y^'+17y=17x^2-x+28

y^{^{''}} + 8 y^{^{'}} + 17 y = 17 x^{2} - x + 28

(d^2y)/(dx^2)+4(dy)/(dx)+3y=e^{-2x}

\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} + 3 y = e^{- 2 x}

y^{''}-4y^'+5y=5t

y^{^{''}} - 4 y^{^{'}} + 5 y = 5 t

(d^2y)/(dx^2)+y=x

\frac{d ^{2} y}{d x ^{2}} + y = x