(dy)/(dx)=sqrt(6y)e^{x+7}

Lösung

\frac{d y}{d x} = 6 y e^{x + 7}

y = \frac{3 e ^{14 + 2 x}}{2} + \frac{3 c _{1} e ^{7 + x}}{2} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{d y}{d x} = 6 y e^{x + 7}

Solve separable ODE:

y = \frac{3 e ^{14 + 2 x}}{2} + \frac{3 c _{1} e ^{7 + x}}{2} + \frac{c _{1}^{2}}{4}

y = \frac{3 e ^{14 + 2 x}}{2} + \frac{3 c _{1} e ^{7 + x}}{2} + \frac{c _{1}^{2}}{4}

\int_{1}^{4} 4 x^{2} - 2 x d x

\frac{d}{d x} (x 3^{x})

n = 1 \sum \infty n^{3} 2^{- n}

\int (\frac{1}{x ^{2}} + \frac{4}{x x} + 2) d x

\frac{d}{d x} (\frac{3 x}{x ^{2} - 1})