5sqrt(xy)(dy)/(dx)=3

解答

5 x y \frac{d y}{d x} = 3

y = 3 \frac{81 x}{25} + \frac{27 c _{1} x}{5} + \frac{9 c _{1}^{2}}{4}

求解步骤

5 x y \frac{d y}{d x} = 3

求解可分离方程:

y = 3 \frac{81 x}{25} + \frac{27 c _{1} x}{5} + \frac{9 c _{1}^{2}}{4}

y = 3 \frac{81 x}{25} + \frac{27 c _{1} x}{5} + \frac{9 c _{1}^{2}}{4}

y^{^{'''}} - 6 y^{^{''}} = 6 - cos (x)

x \to 0 lim (x \cdot cos (\frac{7}{x}))

y^{^{'}} = \frac{x}{y} + \frac{2 y}{x}

\int \frac{1}{4 x ^{2} + 25} d x

\int e^{- r^{2}} r d r