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Beliebt Rechnen >

y^{''}-2y^'+y=11e^x

Lösung

y^{^{''}} - 2 y^{^{'}} + y = 11 e^{x}

Lösung

y = c_{1} e^{x} + c_{2} x e^{x} + \frac{11 e ^{x} x ^{2}}{2}

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) + y = 11 e^{x}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} x e^{x} + \frac{11 e ^{x} x ^{2}}{2}

y = c_{1} e^{x} + c_{2} x e^{x} + \frac{11 e ^{x} x ^{2}}{2}

Graph

Beliebte Beispiele

y^{''}+4y=9t,y^'(0)=7

y^{^{''}} + 4 y = 9 t, y^{^{'}} (0) = 7

y^{''}+3y^'-4y=2cos(3x)

y^{^{''}} + 3 y^{^{'}} - 4 y = 2 cos (3 x)

y^{''}+2y^'+y=t^2-6

y^{^{''}} + 2 y^{^{'}} + y = t^{2} - 6

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

y^{^{''}} + 2 y^{^{'}} + 2 y = \frac{e ^{- x}}{cos ( x )}

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