已知y1=x^2,y2=x+x^2,y3=e^x+x^2都是方程(x-1)y''-xy'+y=-x^2+2x-2的解,求此方程的通解能不能给我讲讲思路
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![已知y1=x^2,y2=x+x^2,y3=e^x+x^2都是方程(x-1)y''-xy'+y=-x^2+2x-2的解,求此方程的通解能不能给我讲讲思路](/uploads/image/z/3169097-17-7.jpg?t=%E5%B7%B2%E7%9F%A5y1%3Dx%5E2%2Cy2%3Dx%2Bx%5E2%2Cy3%3De%5Ex%2Bx%5E2%E9%83%BD%E6%98%AF%E6%96%B9%E7%A8%8B%EF%BC%88x-1%EF%BC%89y%27%27-xy%27%2By%3D-x%5E2%2B2x-2%E7%9A%84%E8%A7%A3%2C%E6%B1%82%E6%AD%A4%E6%96%B9%E7%A8%8B%E7%9A%84%E9%80%9A%E8%A7%A3%E8%83%BD%E4%B8%8D%E8%83%BD%E7%BB%99%E6%88%91%E8%AE%B2%E8%AE%B2%E6%80%9D%E8%B7%AF)
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