(dy)/(dx)= x/(y^2sqrt(1+x))

Lösung

\frac{d y}{d x} = \frac{x}{y ^{2} 1 + x}

y = 3 6 (\frac{1}{3} (1 + x)^{\frac{3}{2}} - 1 + x) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{x}{y ^{2} 1 + x}

Solve separable ODE:

y = 3 6 (\frac{1}{3} (1 + x)^{\frac{3}{2}} - 1 + x) + c_{1}

y = 3 6 (\frac{1}{3} (1 + x)^{\frac{3}{2}} - 1 + x) + c_{1}

\int 2 e^{2 y} d y

\int_{- 12}^{0} \frac{1}{4 - x} d x

\int \frac{x ^{2}}{( 15 + 6 x - 9 x ^{2} )} d x

n = 1 \sum \infty \frac{1}{3 ^{\frac{1}{n}}}

x \to 3 lim (6 x - 7)