作业帮求微分方程dy/dx+[(2-3x^2)/x^3]*y=1 满足初始条件x=1,y=o的特解答案y=(1/2)x^2*{1-e^[1/(x^2)-1]}
来源：学生作业帮助网 编辑：作业帮 时间：2024/12/01 00:11:46
![求微分方程dy/dx+[(2-3x^2)/x^3]*y=1 满足初始条件x=1,y=o的特解答案y=(1/2)x^2*{1-e^[1/(x^2)-1]}](/uploads/image/z/1171679-23-9.jpg?t=%E6%B1%82%E5%BE%AE%E5%88%86%E6%96%B9%E7%A8%8Bdy%2Fdx%2B%5B%282-3x%5E2%29%2Fx%5E3%5D%2Ay%3D1+%E6%BB%A1%E8%B6%B3%E5%88%9D%E5%A7%8B%E6%9D%A1%E4%BB%B6x%3D1%2Cy%3Do%E7%9A%84%E7%89%B9%E8%A7%A3%E7%AD%94%E6%A1%88y%3D%281%2F2%29x%5E2%2A%7B1-e%5E%5B1%2F%28x%5E2%29-1%5D%7D)
xők@Rt]iF]5Qĥb:tv^ jŪ2s#ҿ&w^/!t 9y>S~m| pۗV*F
ب&WQWmjbyQ3jI
x^j^cʜTCb3_h :| {0PLA 䣣B|#c{Mٷm\4'?GYwOUX
{?o3',-$Z{ W֛%&c ܸ%r)tjEhj~a+5 <wrA8hn،CM" []a1#b: [D'% !
AZ&a.q)pL]
B.:.y:3 ѹ &]0a [#qV
求微分方程dy/dx+[(2-3x^2)/x^3]*y=1 满足初始条件x=1,y=o的特解答案y=(1/2)x^2*{1-e^[1/(x^2)-1]}
求微分方程dy/dx+[(2-3x^2)/x^3]*y=1 满足初始条件x=1,y=o的特解
答案y=(1/2)x^2*{1-e^[1/(x^2)-1]}
求微分方程dy/dx+[(2-3x^2)/x^3]*y=1 满足初始条件x=1,y=o的特解答案y=(1/2)x^2*{1-e^[1/(x^2)-1]}
本题只要找一个积分因子就可以了.
点击放大,若不清楚,点击放大后copy下来就非常清楚了：
