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Beliebt Rechnen >

x^{''}+36x=8cos(6t)

Lösung

x^{^{''}} + 36 x = 8 cos (6 t)

Lösung

x = c_{1} cos (6 t) + c_{2} sin (6 t) + \frac{2 t sin ( 6 t )}{3}

Schritte zur Lösung

x^{''} (t) + 36 x = 8 cos (6 t)

Solve linear ODE:

x = c_{1} cos (6 t) + c_{2} sin (6 t) + \frac{2 t sin ( 6 t )}{3}

x = c_{1} cos (6 t) + c_{2} sin (6 t) + \frac{2 t sin ( 6 t )}{3}

Graph

Beliebte Beispiele

y^{''}-3y^'+2y=7x+28

y^{^{''}} - 3 y^{^{'}} + 2 y = 7 x + 28

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

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

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

y^{''}-4y^'+3y=3te^t,y(0)=1,y^'(0)=-5

y^{^{''}} - 4 y^{^{'}} + 3 y = 3 t e^{t}, y (0) = 1, y^{^{'}} (0) = - 5

y^{''}-3y^'-4y=8e^xcos(2x)

y^{^{''}} - 3 y^{^{'}} - 4 y = 8 e^{x} cos (2 x)