(dy)/(dx)=sqrt(3y)*e^{x+3}

Lösung

\frac{d y}{d x} = 3 y \cdot e^{x + 3}

y = \frac{3 e ^{6 + 2 x}}{4} + \frac{3 c _{1} e ^{x + 3}}{2} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{d y}{d x} = 3 y \cdot e^{x + 3}

Solve separable ODE:

y = \frac{3 e ^{6 + 2 x}}{4} + \frac{3 c _{1} e ^{x + 3}}{2} + \frac{c _{1}^{2}}{4}

y = \frac{3 e ^{6 + 2 x}}{4} + \frac{3 c _{1} e ^{x + 3}}{2} + \frac{c _{1}^{2}}{4}

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