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Beliebt Rechnen >

(dy)/(dx)=2y+x^2+7

Lösung

\frac{d y}{d x} = 2 y + x^{2} + 7

Lösung

y = - \frac{x ^{2}}{2} - \frac{x}{2} - \frac{15}{4} + c_{1} e^{2 x}

Schritte zur Lösung

\frac{d y}{d x} = 2 y + x^{2} + 7

Solve linear ODE:

y = - \frac{x ^{2}}{2} - \frac{x}{2} - \frac{15}{4} + c_{1} e^{2 x}

y = - \frac{x ^{2}}{2} - \frac{x}{2} - \frac{15}{4} + c_{1} e^{2 x}

Graph

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