(dy}{dx}=\frac{x^2)/y ,y(0)=2

解答

\frac{d y}{d x} = \frac{x ^{2}}{y}, y (0) = 2

y = \frac{2 x ^{3}}{3} + 4

求解步骤

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

求解可分离方程:

y = \frac{2 x ^{3}}{3} + 4

y = \frac{2 x ^{3}}{3} + 4

y^{^{'}} = \frac{x y ^{2}}{8} + y^{2}

\frac{d y}{d x} = x^{2} (y - 6), y (0) = 8

\frac{d y}{d x} - 2 cos (x) y = 0

y^{\frac{1}{2}} y^{^{'}} = 1 - y^{\frac{3}{2}}

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