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Beliebt Rechnen >

(dy)/(dx)+x*y=-x^2

Lösung

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

Lösung

y = - x + \frac{π erfi ( \frac{x}{2} )}{2 e ^{\frac{x ^{2}}{2}}} + \frac{c _{1}}{e ^{\frac{x ^{2}}{2}}}

Schritte zur Lösung

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

Solve linear ODE:

y = - x + \frac{π erfi ( \frac{x}{2} )}{2 e ^{\frac{x ^{2}}{2}}} + \frac{c _{1}}{e ^{\frac{x ^{2}}{2}}}

y = - x + \frac{π erfi ( \frac{x}{2} )}{2 e ^{\frac{x ^{2}}{2}}} + \frac{c _{1}}{e ^{\frac{x ^{2}}{2}}}

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