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Beliebt Rechnen >

(dy)/(dx)=sqrt(9y)e^{x+9}

Lösung

\frac{d y}{d x} = 9 y e^{x + 9}

Lösung

y = \frac{9 e ^{18 + 2 x}}{4} + \frac{3 c _{1} e ^{x + 9}}{2} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{d y}{d x} = 9 y e^{x + 9}

Solve separable ODE:

y = \frac{9 e ^{18 + 2 x}}{4} + \frac{3 c _{1} e ^{x + 9}}{2} + \frac{c _{1}^{2}}{4}

y = \frac{9 e ^{18 + 2 x}}{4} + \frac{3 c _{1} e ^{x + 9}}{2} + \frac{c _{1}^{2}}{4}

Graph

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