展开 (t^2+25)y'(t)+2ty

解答

展开

(t^{2} + 25) y^{'} (t) + 2 t y

t^{2} y' (t) + 25 y' (t) + 2 t y

求解步骤

(t^{2} + 25) y^{'} (t) + 2 t y

乘开

y^{'} (t) (t^{2} + 25) : t^{2} y^{'} (t) + 25 y^{'} (t)

= t^{2} y^{'} (t) + 25 y^{'} (t) + 2 t y

e x p an d (2 (x^{2}) + 4 x + g (y)) d x

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

e x p an d x^{2} (y + 1) d x + y^{2} (x - 1) d y

e x p an d (2 x^{2} y^{3} + 3 y^{5} - 20 y^{3}) d y

e x p an d - (10 k = 8.8 m + 10)