(xy^2+x)dx+(y-x^2y)dy=0

Lösung

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

y = e^{2 c_{1}} x^{2} - e^{2 c_{1}} - 1, y = - e^{2 c_{1}} x^{2} - e^{2 c_{1}} - 1

Schritte zur Lösung

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

Solve separable ODE:

y = e^{2 c_{1}} x^{2} - e^{2 c_{1}} - 1, y = - e^{2 c_{1}} x^{2} - e^{2 c_{1}} - 1

y = e^{2 c_{1}} x^{2} - e^{2 c_{1}} - 1, y = - e^{2 c_{1}} x^{2} - e^{2 c_{1}} - 1

x \to 0 lim (x sin (\frac{4 π}{x}))

\int_{1}^{2} 27 x^{2} 4^{x^{3}} d x

\frac{d}{d x} (cos (x^{2} + x y))

\frac{\partial}{\partial x} ((1 + x^{3})^{2020})

\frac{d}{d x} (- 2 x^{2} + 36 ln (x))