微分方程通解和特解,已知y1=x,y2=x^2,y3=e^x为方程y''+p(x)y'+q(x)y=f(x)的三个特解,求通解A.y=C1x+C2x^2+e^xB.C1x^2+C2e^x+xC.y=C1(x-x^2)+C2(x-e^x)+xD.C1(x-x^2)+C2(x^2-e^x)答案说选C,请问为什么啊?
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/27 10:46:25
![微分方程通解和特解,已知y1=x,y2=x^2,y3=e^x为方程y''+p(x)y'+q(x)y=f(x)的三个特解,求通解A.y=C1x+C2x^2+e^xB.C1x^2+C2e^x+xC.y=C1(x-x^2)+C2(x-e^x)+xD.C1(x-x^2)+C2(x^2-e^x)答案说选C,请问为什么啊?](/uploads/image/z/6117886-46-6.jpg?t=%E5%BE%AE%E5%88%86%E6%96%B9%E7%A8%8B%E9%80%9A%E8%A7%A3%E5%92%8C%E7%89%B9%E8%A7%A3%2C%E5%B7%B2%E7%9F%A5y1%3Dx%2Cy2%3Dx%5E2%2Cy3%3De%5Ex%E4%B8%BA%E6%96%B9%E7%A8%8By%27%27%2Bp%28x%29y%27%2Bq%28x%29y%3Df%28x%29%E7%9A%84%E4%B8%89%E4%B8%AA%E7%89%B9%E8%A7%A3%2C%E6%B1%82%E9%80%9A%E8%A7%A3A.y%3DC1x%2BC2x%5E2%2Be%5ExB.C1x%5E2%2BC2e%5Ex%2BxC.y%3DC1%28x-x%5E2%29%2BC2%28x-e%5Ex%29%2BxD.C1%28x-x%5E2%29%2BC2%28x%5E2-e%5Ex%29%E7%AD%94%E6%A1%88%E8%AF%B4%E9%80%89C%2C%E8%AF%B7%E9%97%AE%E4%B8%BA%E4%BB%80%E4%B9%88%E5%95%8A%3F)
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