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Beliebt Rechnen >

4x^{''}+324x=8sin(t)

Lösung

4 x^{^{''}} + 324 x = 8 sin (t)

Lösung

x = c_{1} cos (9 t) + c_{2} sin (9 t) + \frac{1}{40} sin (t)

Schritte zur Lösung

4 x^{''} (t) + 324 x = 8 sin (t)

Solve linear ODE:

x = c_{1} cos (9 t) + c_{2} sin (9 t) + \frac{1}{40} sin (t)

x = c_{1} cos (9 t) + c_{2} sin (9 t) + \frac{1}{40} sin (t)

Graph

Beliebte Beispiele

y^{''}+5y^'+4y=-2e^{3t}

y^{^{''}} + 5 y^{^{'}} + 4 y = - 2 e^{3 t}

y^{''}+4y=8e^{2t}

y^{^{''}} + 4 y = 8 e^{2 t}

y^{''}-4y^'+3y=e^{(3x)}

y^{^{''}} - 4 y^{^{'}} + 3 y = e^{(3 x)}

y^{''}+3y^'-4y=7e^x

y^{^{''}} + 3 y^{^{'}} - 4 y = 7 e^{x}

y^{''}+25y=2x,y(0)=1,y^'(0)=5

y^{^{''}} + 25 y = 2 x, y (0) = 1, y^{^{'}} (0) = 5