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Beliebt Rechnen >

y^'+10x^4y=50x^9e^{3x^5}

Lösung

y^{^{'}} + 10 x^{4} y = 50 x^{9} e^{3 x^{5}}

Lösung

y = 2 e^{3 x^{5}} x^{5} - \frac{2 e ^{3 x^{5}}}{5} + \frac{c _{1}}{e ^{2 x^{5}}}

Schritte zur Lösung

y^{'} (x) + 10 x^{4} y = 50 x^{9} e^{3 x^{5}}

Solve linear ODE:

y = 2 e^{3 x^{5}} x^{5} - \frac{2 e ^{3 x^{5}}}{5} + \frac{c _{1}}{e ^{2 x^{5}}}

y = 2 e^{3 x^{5}} x^{5} - \frac{2 e ^{3 x^{5}}}{5} + \frac{c _{1}}{e ^{2 x^{5}}}

Graph

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