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

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

cos (x) d y + (y sin (x) - cos^{4} (x)) d x = 0

t an g e n t f (x) = x + 2 sin (x)

\frac{\partial}{\partial x} ((x^{2} + x y)^{3})

2 x y d x + x^{2} d y = 0

x \to 3 + lim (x^{2} + 2 x)