求一阶线性微分方程的通解

2025-01-19 07:14:45
推荐回答(1个)
回答1:

dy/dx +(2/x)y = sinx/x^2
x^2.dy/dx +2xy = sinx
d/dx ( x^2.y) = sinx
x^2.y = ∫ sinx dx
=-cosx + C
y = (-cosx + C)/x^2