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Beliebt Rechnen >

y^{''}+25y=tsin(4t)

Lösung

y^{^{''}} + 25 y = t sin (4 t)

Lösung

y = c_{1} cos (5 t) + c_{2} sin (5 t) + \frac{t sin ( 4 t )}{9} - \frac{8}{81} cos (4 t)

Schritte zur Lösung

y^{''} (t) + 25 y = t sin (4 t)

Solve linear ODE:

y = c_{1} cos (5 t) + c_{2} sin (5 t) + \frac{t sin ( 4 t )}{9} - \frac{8}{81} cos (4 t)

y = c_{1} cos (5 t) + c_{2} sin (5 t) + \frac{t sin ( 4 t )}{9} - \frac{8}{81} cos (4 t)

Graph

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