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Beliebt Rechnen >

(d^2x)/(dt^2)+4x=t^2

Lösung

\frac{d ^{2} x}{d t ^{2}} + 4 x = t^{2}

Lösung

x = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{t ^{2}}{4} - \frac{1}{8}

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 4 x = t^{2}

Solve linear ODE:

x = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{t ^{2}}{4} - \frac{1}{8}

x = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{t ^{2}}{4} - \frac{1}{8}

Graph

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