利用Matlab的dsolve命令解微分方程答案为什么不对?我想求解y''+4y'+3=0这个方程,我利用这个命令dsolve('D2y+4*Dy+3=0','y(0)=5','Dy(0)=-7'),25/(16*exp(4*t)) - (3*t)/4 + 55/16 ,但很明显这方程的解是 exp(-3*t)+4*exp(-t)
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![利用Matlab的dsolve命令解微分方程答案为什么不对?我想求解y''+4y'+3=0这个方程,我利用这个命令dsolve('D2y+4*Dy+3=0','y(0)=5','Dy(0)=-7'),25/(16*exp(4*t)) - (3*t)/4 + 55/16 ,但很明显这方程的解是 exp(-3*t)+4*exp(-t)](/uploads/image/z/8620793-17-3.jpg?t=%E5%88%A9%E7%94%A8Matlab%E7%9A%84dsolve%E5%91%BD%E4%BB%A4%E8%A7%A3%E5%BE%AE%E5%88%86%E6%96%B9%E7%A8%8B%E7%AD%94%E6%A1%88%E4%B8%BA%E4%BB%80%E4%B9%88%E4%B8%8D%E5%AF%B9%3F%E6%88%91%E6%83%B3%E6%B1%82%E8%A7%A3y%27%27%2B4y%27%2B3%3D0%E8%BF%99%E4%B8%AA%E6%96%B9%E7%A8%8B%2C%E6%88%91%E5%88%A9%E7%94%A8%E8%BF%99%E4%B8%AA%E5%91%BD%E4%BB%A4dsolve%28%27D2y%2B4%2ADy%2B3%3D0%27%2C%27y%280%29%3D5%27%2C%27Dy%280%29%3D-7%27%29%2C25%2F%2816%2Aexp%284%2At%29%29+-+%283%2At%29%2F4+%2B+55%2F16+%2C%E4%BD%86%E5%BE%88%E6%98%8E%E6%98%BE%E8%BF%99%E6%96%B9%E7%A8%8B%E7%9A%84%E8%A7%A3%E6%98%AF+exp%28-3%2At%29%2B4%2Aexp%28-t%29)
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