dy=(y/x-cos(e)c^2 y/x)dx

解答

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

y = c_{1} x^{1 - c o s (e) c^{2}}

求解步骤

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

求解可分离方程:

y = c_{1} x^{1 - c o s (e) c^{2}}

y = c_{1} x^{1 - c o s (e) c^{2}}

2 x e^{x^{2} + y^{2}} + 2 y e^{x^{2} + y^{2}} \frac{d y}{d x} = 0

y^{^{'}} + 4 t y = - 2 t

x y^{^{'}} - y = 4 x^{9} y, y (1) = 10

y^{^{'}} = \frac{x ^{2} - 7}{y ^{2}}, y (0) = 4

x^{^{'}} = \frac{1}{x ^{3} - x}, x (0) = - 2