(dy)/(dx)=(1-2x)y^2

Lösung

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

y = - \frac{1}{x - x ^{2} + c _{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{1}{x - x ^{2} + c _{1}}

y = - \frac{1}{x - x ^{2} + c _{1}}

\int_{0}^{2} 2 π x (3 + \frac{x ^{2}}{3}) d x

f (x) = \frac{sin ( x ) + cos ( x )}{sin ( x ) - cos ( x )}

(1 + x^{3}) d y - x^{2} y d x = 0

x d y + y ln (y) d x = 0

\int \frac{2 x ^{5} + 1}{2 x - 2 x ^{5}} d x