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Beliebt Rechnen >

(d^2x)/(dt^2)+xk+a=0

Lösung

\frac{d ^{2} x}{d t ^{2}} + x k + a = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + x k + a = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-2y^'+y=x^{1/2}e^x

y^{^{''}} - 2 y^{^{'}} + y = x^{\frac{1}{2}} e^{x}

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y^{^{''}} - 3 y^{^{'}} - 4 y = e^{- x}