求解答一个高数微分问题

2025-06-28 17:03:35
推荐回答(1个)
回答1:

dy/dx = x(y^5-6y), dy/(y^5-6y) = xdx
x^2 = ∫2dy/[y(y^4-6)] = (-1/3)∫[1/y-y^3/(y^4-6)]dy
= (-1/3)ln|y| + (1/12)ln|y^4-6| + C
也可按贝努里方程来解。