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Beliebt Rechnen >

(dy)/(dx)=sqrt(10y)e^{x+6}

Lösung

\frac{d y}{d x} = 10 y e^{x + 6}

Lösung

y = \frac{5 e ^{12 + 2 x}}{2} + \frac{5 c _{1} e ^{6 + x}}{2} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{d y}{d x} = 10 y e^{x + 6}

Solve separable ODE:

y = \frac{5 e ^{12 + 2 x}}{2} + \frac{5 c _{1} e ^{6 + x}}{2} + \frac{c _{1}^{2}}{4}

y = \frac{5 e ^{12 + 2 x}}{2} + \frac{5 c _{1} e ^{6 + x}}{2} + \frac{c _{1}^{2}}{4}

Graph

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