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Beliebt Rechnen >

y^{''}+16y^'+64y=4sin(3x)

Lösung

y^{^{''}} + 16 y^{^{'}} + 64 y = 4 sin (3 x)

Lösung

y = c_{1} e^{- 8 x} + c_{2} x e^{- 8 x} + \frac{220}{5329} sin (3 x) - \frac{192}{5329} cos (3 x)

Schritte zur Lösung

y^{''} (x) + 16 y^{'} (x) + 64 y = 4 sin (3 x)

Solve linear ODE:

y = c_{1} e^{- 8 x} + c_{2} x e^{- 8 x} + \frac{220}{5329} sin (3 x) - \frac{192}{5329} cos (3 x)

y = c_{1} e^{- 8 x} + c_{2} x e^{- 8 x} + \frac{220}{5329} sin (3 x) - \frac{192}{5329} cos (3 x)

Graph

Beliebte Beispiele

y^{''}+7y^'+10y=15te^{4t}

y^{^{''}} + 7 y^{^{'}} + 10 y = 15 t e^{4 t}

y^{''}-2y^'=e^xsin(x)

y^{^{''}} - 2 y^{^{'}} = e^{x} sin (x)

y^{''}-y=t-2,y(2)=3,y^'(2)=0

y^{^{''}} - y = t - 2, y (2) = 3, y^{^{'}} (2) = 0

y^{''}-y=sin(t)

y^{^{''}} - y = sin (t)

4y^{''}-16y^'+64y=-(2e^{8x})/(3x)

4 y^{^{''}} - 16 y^{^{'}} + 64 y = - \frac{2 e ^{8 x}}{3 x}