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Beliebt Rechnen >

xy^'+6x^2y=xe^{5x}

Lösung

x y^{^{'}} + 6 x^{2} y = x e^{5 x}

Lösung

y = \frac{π erfi ( 3 ( x + \frac{5}{6} ) )}{2 3 e ^{\frac{25 + 36 x ^{2}}{12}}} + \frac{c _{1}}{e ^{3 x^{2}}}

Schritte zur Lösung

x y^{'} (x) + 6 x^{2} y = x e^{5 x}

Solve linear ODE:

y = \frac{π erfi ( 3 ( x + \frac{5}{6} ) )}{2 3 e ^{\frac{25 + 36 x ^{2}}{12}}} + \frac{c _{1}}{e ^{3 x^{2}}}

y = \frac{π erfi ( 3 ( x + \frac{5}{6} ) )}{2 3 e ^{\frac{25 + 36 x ^{2}}{12}}} + \frac{c _{1}}{e ^{3 x^{2}}}

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