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Beliebt Rechnen >

x(dy)/(dx)=2xe^{x^2}-y+6x^2

Lösung

x \frac{d y}{d x} = 2 x e^{x^{2}} - y + 6 x^{2}

Lösung

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

Schritte zur Lösung

x \frac{d y}{d x} = 2 x e^{x^{2}} - y + 6 x^{2}

Solve linear ODE:

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

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

Graph

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