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Beliebt Rechnen >

3y^{''}+75y=10cos(5t)

Lösung

3 y^{^{''}} + 75 y = 10 cos (5 t)

Lösung

y = c_{1} cos (5 t) + c_{2} sin (5 t) + \frac{t sin ( 5 t )}{3}

Schritte zur Lösung

3 y^{''} (t) + 75 y = 10 cos (5 t)

Solve linear ODE:

y = c_{1} cos (5 t) + c_{2} sin (5 t) + \frac{t sin ( 5 t )}{3}

y = c_{1} cos (5 t) + c_{2} sin (5 t) + \frac{t sin ( 5 t )}{3}

Graph

Beliebte Beispiele

y^{''''}-y=8e^x

y^{^{''''}} - y = 8 e^{x}

y^{''}+y=t,y(0)=4,y(0)=0,y^'(0)=0

y^{^{''}} + y = t, y (0) = 4, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+3y^'-2y=2t^2+4t+4

y^{^{''}} + 3 y^{^{'}} - 2 y = 2 t^{2} + 4 t + 4

y^{''}+4y^'+4y=t^2-2t

y^{^{''}} + 4 y^{^{'}} + 4 y = t^{2} - 2 t

y^{''}-y^'-6y=-2tsin(t)

y^{^{''}} - y^{^{'}} - 6 y = - 2 t sin (t)