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Beliebt Rechnen >

y^{''}+4y^'+4y=15x+17

Lösung

y^{^{''}} + 4 y^{^{'}} + 4 y = 15 x + 17

Lösung

y = c_{1} e^{- 2 x} + c_{2} x e^{- 2 x} + \frac{15 x}{4} + \frac{1}{2}

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) + 4 y = 15 x + 17

Solve linear ODE:

y = c_{1} e^{- 2 x} + c_{2} x e^{- 2 x} + \frac{15 x}{4} + \frac{1}{2}

y = c_{1} e^{- 2 x} + c_{2} x e^{- 2 x} + \frac{15 x}{4} + \frac{1}{2}

Graph

Beliebte Beispiele

y^{''}+16y^'+64y=100e^{2x}

y^{^{''}} + 16 y^{^{'}} + 64 y = 100 e^{2 x}

y^{''}-2y^'-3y=6xe^x+4x-5

y^{^{''}} - 2 y^{^{'}} - 3 y = 6 x e^{x} + 4 x - 5

y^{''}-2y^'+5y=cos(x)

y^{^{''}} - 2 y^{^{'}} + 5 y = cos (x)

y^{''}+3y=5t^4,y(0)=0,y^'(0)=0

y^{^{''}} + 3 y = 5 t^{4}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-10y^'+24=0

y^{^{''}} - 10 y^{^{'}} + 24 = 0