(y-yx^2)(dy)/(dx)=(y+1)^2

Lösung

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

y = - 1 - \frac{1}{W ( - \frac{x - 1}{c _{1} x + 1} )}

Schritte zur Lösung

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

Solve separable ODE:

y = - 1 - \frac{1}{W ( - \frac{x - 1}{c _{1} x + 1} )}

y = - 1 - \frac{1}{W ( - \frac{x - 1}{c _{1} x + 1} )}

d er i v a t i v e f (x) = 24

\frac{\partial}{\partial y} (6 x + 5 y)

(- 3 sin (x) - y sin (x) + 5 cos (x)) d x + cos (x) d y = 0

\int \frac{z}{( z + \frac{1}{2} - \frac{5}{2} ) ( z + \frac{1}{2} + \frac{5}{2} )} d z

\int_{1}^{e} 7 x^{2} ln (x) d x