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

解答

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

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

求解步骤

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

求解可分离方程:

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

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

d er i v a t i v e \frac{2}{x x}

x \to \infty lim (x (2))

\frac{d}{d x} (3 A e^{3 x})

a re a 4 sin (x), 4 cos (2 x), [- \frac{π}{2}, \frac{π}{6}]

\frac{\partial}{\partial x} (sin (3 x))