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Beliebt Rechnen >

y^{''}+y^'+2y-x-3=0

Lösung

y^{^{''}} + y^{^{'}} + 2 y - x - 3 = 0

Lösung

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{7 x}{2}) + c_{2} sin (\frac{7 x}{2})) + \frac{x}{2} + \frac{5}{4}

Schritte zur Lösung

y^{''} (x) + y^{'} (x) + 2 y - x - 3 = 0

Solve linear ODE:

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{7 x}{2}) + c_{2} sin (\frac{7 x}{2})) + \frac{x}{2} + \frac{5}{4}

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{7 x}{2}) + c_{2} sin (\frac{7 x}{2})) + \frac{x}{2} + \frac{5}{4}

Graph

Beliebte Beispiele

y^{''''}+2y^{''}+y=9+cos(3t)

y^{^{''''}} + 2 y^{^{''}} + y = 9 + cos (3 t)

y^{''}-y=8e^{9t}+te^{9t}+5t^2e^{9t}

y^{^{''}} - y = 8 e^{9 t} + t e^{9 t} + 5 t^{2} e^{9 t}

14y^{''}+y^'+y=x^2-4x

14 y^{^{''}} + y^{^{'}} + y = x^{2} - 4 x

y^{'''}-y^{''}=cos(2t)

y^{^{'''}} - y^{^{''}} = cos (2 t)

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

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