展开 y'(x)-(x-1)y^2+(1-2x)y+x

解答

展开

y^{'} (x) - (x - 1) y^{2} + (1 - 2 x) y + x

y' (x) - x y^{2} + y^{2} + y - 2 x y + x

求解步骤

y^{'} (x) - (x - 1) y^{2} + (1 - 2 x) y + x

乘开

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

= y^{'} (x) - x y^{2} + y^{2} + (1 - 2 x) y + x

乘开

y (1 - 2 x) : y - 2 x y

= y^{'} (x) - x y^{2} + y^{2} + y - 2 x y + x

e x p an d \frac{x ^{2} + x - 25}{( x + 1 ) ^{2} ( x ^{2} + 4 )}

e x p an d lo g_{10} (8) x^{3}

e x p an d 4 (sin (\frac{19 π}{90}) + cos (\frac{17 π}{45})) e c^{8}

e x p an d \frac{2}{y} + \frac{1}{y - 5}

e x p an d A (- 6, - 1) y B (4, - 3)