展开 (vx+xsqrt(x^2-v^2))dx-x(\H(x)dx+xdv=0)

解答

展开

(vx + x x^{2} - v^{2}) d x - x (H (x) d x + x d v = 0)

vx d x + x d x x^{2} - v^{2} - x H (x) d x - x^{2} d v = 0

求解步骤

(vx + x x^{2} - v^{2}) d x - x (H (x) d x + x d v = 0)

= (vx + x x^{2} - v^{2}) d x - x (H (x) d x + 0 = x d v)

乘开

d x (vx + x x^{2} - v^{2}) : vx d x + x d x x^{2} - v^{2}

= vx d x + x d x x^{2} - v^{2} - x (H (x) d x + x d v = 0)

乘开

- x (H (x) d x + x d v = 0) : - x H (x) d x - x^{2} d v = 0

vx d x + x d x x^{2} - v^{2} - x H (x) d x - x^{2} d v = 0

e x p an d cos (x) \cdot (48 x + 24)

e x p an d - \frac{10 ( 3 + 3 )}{3}

e x p an d (- 66 + x y + 11 y - 6 x) d y + (6 x - y + y x - 9) d x

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

e x p an d - \frac{25 ( 4 + x )}{16 ( y - 5 )}