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Beliebt Rechnen >

x^{''}+16x=8sin(2t)

Lösung

x^{^{''}} + 16 x = 8 sin (2 t)

Lösung

x = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{2}{3} sin (2 t)

Schritte zur Lösung

x^{''} (t) + 16 x = 8 sin (2 t)

Solve linear ODE:

x = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{2}{3} sin (2 t)

x = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{2}{3} sin (2 t)

Graph

Beliebte Beispiele

y^{'''}-3y^'-2y=2x+1

y^{^{'''}} - 3 y^{^{'}} - 2 y = 2 x + 1

y^{'''}-2y^{''}-4y^'+8y=e^{2x}

y^{^{'''}} - 2 y^{^{''}} - 4 y^{^{'}} + 8 y = e^{2 x}

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

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

y^{''}+3y^'+2y=xe^x

y^{^{''}} + 3 y^{^{'}} + 2 y = x e^{x}

y^{''}-4y^'-21y=480e^{-t}

y^{^{''}} - 4 y^{^{'}} - 21 y = 480 e^{- t}