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Beliebt Rechnen >

y^{''}-2y^'+y=x^{(-1)/3}e^x

Lösung

y^{^{''}} - 2 y^{^{'}} + y = x^{\frac{- 1}{3}} e^{x}

Lösung

y = c_{1} e^{x} + c_{2} x e^{x} + \frac{9 e ^{x} x ^{\frac{5}{3}}}{10}

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) + y = x^{\frac{- 1}{3}} e^{x}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} x e^{x} + \frac{9 e ^{x} x ^{\frac{5}{3}}}{10}

y = c_{1} e^{x} + c_{2} x e^{x} + \frac{9 e ^{x} x ^{\frac{5}{3}}}{10}

Graph

Beliebte Beispiele

y^{''}+4y=t^2+6e^t

y^{^{''}} + 4 y = t^{2} + 6 e^{t}

y^{''}-2y^'+5y=10x^2-3x-3

y^{^{''}} - 2 y^{^{'}} + 5 y = 10 x^{2} - 3 x - 3

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

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

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

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

y^{''}+4y=8tan(t)

y^{^{''}} + 4 y = 8 tan (t)