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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- 2 x} + \frac{x ^{2}}{2} + 2 x - \frac{1}{8} e^{2 x}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- 2 x} + \frac{x ^{2}}{2} + 2 x - \frac{1}{8} e^{2 x}

y = c_{1} + c_{2} e^{- 2 x} + \frac{x ^{2}}{2} + 2 x - \frac{1}{8} e^{2 x}

Graph

Beliebte Beispiele

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

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

y^{''}-5y^'+6y=8xe^x

y^{^{''}} - 5 y^{^{'}} + 6 y = 8 x e^{x}

y^{''}+3y^'=1-e^{-3x}

y^{^{''}} + 3 y^{^{'}} = 1 - e^{- 3 x}

y^{''}+16y=6x,y(0)=1,y^'(0)=4

y^{^{''}} + 16 y = 6 x, y (0) = 1, y^{^{'}} (0) = 4

y^{''}-2y^'-3y=-11te^{-t}

y^{^{''}} - 2 y^{^{'}} - 3 y = - 11 t e^{- t}