(dy)/(dx)-y/x =-5/2 x^2y^3

解答

\frac{d y}{d x} - \frac{y}{x} = - \frac{5}{2} x^{2} y^{3}

y = \frac{x}{x ^{5} + c _{1}}, y = - \frac{x}{x ^{5} + c _{1}}

求解步骤

\frac{d y}{d x} - \frac{y}{x} = - \frac{5}{2} x^{2} y^{3}

求解贝努力方程:

y = \frac{x}{x ^{5} + c _{1}}, y = - \frac{x}{x ^{5} + c _{1}}

y = \frac{x}{x ^{5} + c _{1}}, y = - \frac{x}{x ^{5} + c _{1}}

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

\int k e^{- 2 x} d x

t an g e n t (x + 2)^{2} + (y - 3)^{2} = 37, (- 3, - 3)

\int_{0}^{\frac{π}{4}} 3 cos^{5} (2 x) d x

\int - 2 t cos (t) d t