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Beliebt Rechnen >

y^{''}+9y=3,y(0)=0,y^'(0)=0

Lösung

y^{^{''}} + 9 y = 3, y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = - \frac{1}{3} cos (3 t) + \frac{1}{3}

Schritte zur Lösung

y^{''} (t) + 9 y = 3

Solve linear ODE:

y = - \frac{1}{3} cos (3 t) + \frac{1}{3}

y = - \frac{1}{3} cos (3 t) + \frac{1}{3}

Graph

Beliebte Beispiele

y^{''}+0.01*(20-y)=0

y^{^{''}} + 0.01 \cdot (20 - y) = 0

y^{''}+4y=8e^{2t},y(0)=1,y^'(0)=-2

y^{^{''}} + 4 y = 8 e^{2 t}, y (0) = 1, y^{^{'}} (0) = - 2

(d^2y)/(dx^2)+2(dy)/(dx)=2x+5-e^{-2x}

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} = 2 x + 5 - e^{- 2 x}

D(x)=(x-8)^2,S(x)=x^2+2x+28

D (x) = (x - 8)^{2}, S (x) = x^{2} + 2 x + 28

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

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