展开 xdy-ydx-(1-x^2)dx

解答

展开

x d y - y d x - (1 - x^{2}) d x

x d y - y d x - d x + x^{2} d x

求解步骤

x d y - y d x - (1 - x^{2}) d x

乘开

- d x (1 - x^{2}) : - d x + x^{2} d x

= x d y - y d x - d x + x^{2} d x

e x p an d x (e^{x} + e^{2 x})^{2}

e x p an d (3 - 0, 1 x) x - (50 + 0.06 x)

e x p an d (x^{2} - 2 y^{2}) d x + x y d y

e x p an d - \frac{3}{( 4 x - 1 ) ^{2}}

e x p an d 2 (2 x - 3 y = 5)