(xdy)/(dx)+y= 1/(y^2)

解答

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

y = \frac{3 - c _{1} + x ^{3}}{x}

求解步骤

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

求解可分离方程:

y = \frac{3 - c _{1} + x ^{3}}{x}

y = \frac{3 - c _{1} + x ^{3}}{x}

d er i v a t i v e 3 a

t an g e n t f (x) = \frac{x ^{2}}{x + 4}, at x = 2

\frac{d y}{d x} - 2 y = 4 - x

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

t an g e n t y = 8 x - 6, (64, 58)