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Beliebt Rechnen >

x^{''}+6x^'+23x=12cos(4t)

Lösung

x^{^{''}} + 6 x^{^{'}} + 23 x = 12 cos (4 t)

Lösung

x = e^{- 3 t} (c_{1} cos (14 t) + c_{2} sin (14 t)) + \frac{288}{625} sin (4 t) + \frac{84}{625} cos (4 t)

Schritte zur Lösung

x^{''} (t) + 6 x^{'} (t) + 23 x = 12 cos (4 t)

Solve linear ODE:

x = e^{- 3 t} (c_{1} cos (14 t) + c_{2} sin (14 t)) + \frac{288}{625} sin (4 t) + \frac{84}{625} cos (4 t)

x = e^{- 3 t} (c_{1} cos (14 t) + c_{2} sin (14 t)) + \frac{288}{625} sin (4 t) + \frac{84}{625} cos (4 t)

Graph

Beliebte Beispiele

(d^2+9)y=30sin^3(x)

(d^{2} + 9) y = 30 sin^{3} (x)

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