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]}
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![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)
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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：
