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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x) - \frac{e ^{3}}{2} + \frac{1}{6} e^{2 x}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) - \frac{e ^{3}}{2} + \frac{1}{6} e^{2 x}

y = c_{1} cos (2 x) + c_{2} sin (2 x) - \frac{e ^{3}}{2} + \frac{1}{6} e^{2 x}

Graph

Beliebte Beispiele

y^{''}-25y=xe^x

y^{^{''}} - 25 y = x e^{x}

y^{''}+4y^'+4y=8x

y^{^{''}} + 4 y^{^{'}} + 4 y = 8 x

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

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

y^{''}-y^'-6y=-e^x+12x,y^'(0)=-2,y(0)=1

y^{^{''}} - y^{^{'}} - 6 y = - e^{x} + 12 x, y^{^{'}} (0) = - 2, y (0) = 1

2x^{''}+5x^'+2x=4e^{-2t}-t

2 x^{^{''}} + 5 x^{^{'}} + 2 x = 4 e^{- 2 t} - t