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Beliebt Rechnen >

y^{''}+9y=4,y(0)=0,y^'(0)=0

Lösung

y^{^{''}} + 9 y = 4, y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = - \frac{4}{9} cos (3 t) + \frac{4}{9}

Schritte zur Lösung

y^{''} (t) + 9 y = 4

Solve linear ODE:

y = - \frac{4}{9} cos (3 t) + \frac{4}{9}

y = - \frac{4}{9} cos (3 t) + \frac{4}{9}

Graph

Beliebte Beispiele

2(d^2y)/(dx^2)+3(dy)/(dx)-2y=xe^{-2x}

2 \frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} - 2 y = x e^{- 2 x}

y^{''}+4y^'=xe^{4x}

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

x^{''}+4x^'+8x=4e^{-2t}sin(2t)

x^{^{''}} + 4 x^{^{'}} + 8 x = 4 e^{- 2 t} sin (2 t)

y^{''}-2y^'+10y=-sin(3t)

y^{^{''}} - 2 y^{^{'}} + 10 y = - sin (3 t)

y^{''''}+y^{''}=7x-3cos(x)

y^{^{''''}} + y^{^{''}} = 7 x - 3 cos (x)