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Beliebt Rechnen >

y^{''}+9y=g(t),y(0)=4,y^'(0)=0

Lösung

y^{^{''}} + 9 y = g (t), y (0) = 4, y^{^{'}} (0) = 0

Lösung

y = 4 cos (3 t) - \frac{g sin ( 3 t )}{27} + \frac{g t}{9}

Schritte zur Lösung

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

Solve linear ODE:

y = 4 cos (3 t) - \frac{g sin ( 3 t )}{27} + \frac{g t}{9}

y = 4 cos (3 t) - \frac{g sin ( 3 t )}{27} + \frac{g t}{9}

Graph

Beliebte Beispiele

y^{''}+5y^'+4y=2e^{-5x},y(0)=4,y^'(0)=3

y^{^{''}} + 5 y^{^{'}} + 4 y = 2 e^{- 5 x}, y (0) = 4, y^{^{'}} (0) = 3

D^2(D+2)y=2+e^{(-t)/2}

D^{2} (D + 2) y = 2 + e^{\frac{- t}{2}}

x^{''}+x^'=2t+1

x^{^{''}} + x^{^{'}} = 2 t + 1

y^{''''}+2y^{''}+y=3t+8

y^{^{''''}} + 2 y^{^{''}} + y = 3 t + 8

y^{''}-9y^'+18=0

y^{^{''}} - 9 y^{^{'}} + 18 = 0