(dy)/(dx)=(3y)^{1/2}e^{x+10}

Lösung

\frac{d y}{d x} = (3 y)^{\frac{1}{2}} e^{x + 10}

y = \frac{3 e ^{20 + 2 x}}{4} + \frac{3 ^{\frac{1}{2}} c _{1} e ^{x + 10}}{2} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{d y}{d x} = (3 y)^{\frac{1}{2}} e^{x + 10}

Solve separable ODE:

y = \frac{3 e ^{20 + 2 x}}{4} + \frac{3 ^{\frac{1}{2}} c _{1} e ^{x + 10}}{2} + \frac{c _{1}^{2}}{4}

y = \frac{3 e ^{20 + 2 x}}{4} + \frac{3 ^{\frac{1}{2}} c _{1} e ^{x + 10}}{2} + \frac{c _{1}^{2}}{4}

\int_{- 1}^{1} (x^{3} - 9 x) d x

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