用观察法求下列方程的积分因子,并求其通解

2025-06-21 15:36:21
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回答1:

(3)d(x-y)=d(x+y)/(x+y)=dln(x+y);
x-y=ln(x+y)+C, P(x+y)=e^(x-y);
(4)两边同时除以(x^2+y^2),有 dx+(ydx-xdy)/(x^2+y^2)=0;
dx+d[arctan(x/y)] =0, x+arctan(x/y)=C.