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Beliebt Rechnen >

31y^{''}+800y=100cos(4t),y(0)=0,y^'(0)=0

Lösung

31 y^{^{''}} + 800 y = 100 cos (4 t), y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = \frac{25}{76} cos (4 t) - \frac{25}{76} cos (\frac{20 2 t}{31})

Schritte zur Lösung

31 y^{''} (t) + 800 y = 100 cos (4 t)

Solve linear ODE:

y = \frac{25}{76} cos (4 t) - \frac{25}{76} cos (\frac{20 2 t}{31})

y = \frac{25}{76} cos (4 t) - \frac{25}{76} cos (\frac{20 2 t}{31})

Graph

Beliebte Beispiele

x^{''''}+2x^{''}+x=4te^t

x^{^{''''}} + 2 x^{^{''}} + x = 4 t e^{t}

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

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

2y^{''}-7y^'+3y=4x^2

2 y^{^{''}} - 7 y^{^{'}} + 3 y = 4 x^{2}

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

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

y^{''}+4y=4t^2,y(0)=0,y^'(0)=0

y^{^{''}} + 4 y = 4 t^{2}, y (0) = 0, y^{^{'}} (0) = 0