一阶线性微分方程的通解公式 (x-2)*dy/dx=y+2*(x-2)^3,求y的通解∵(x-2)*dy/dx=y+2*(x-2)³ ==>(x-2)dy=[y+2*(x-2)³]dx ==>(x-2)dy-ydx=2*(x-2)³dx ==>[(x-2)dy-ydx]/(x-2)²=2*(x-2)dx ==&g
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![一阶线性微分方程的通解公式 (x-2)*dy/dx=y+2*(x-2)^3,求y的通解∵(x-2)*dy/dx=y+2*(x-2)³ ==>(x-2)dy=[y+2*(x-2)³]dx ==>(x-2)dy-ydx=2*(x-2)³dx ==>[(x-2)dy-ydx]/(x-2)²=2*(x-2)dx ==&g](/uploads/image/z/7248661-61-1.jpg?t=%E4%B8%80%E9%98%B6%E7%BA%BF%E6%80%A7%E5%BE%AE%E5%88%86%E6%96%B9%E7%A8%8B%E7%9A%84%E9%80%9A%E8%A7%A3%E5%85%AC%E5%BC%8F+%28x-2%29%2Ady%2Fdx%3Dy%2B2%2A%28x-2%29%5E3%2C%E6%B1%82y%E7%9A%84%E9%80%9A%E8%A7%A3%E2%88%B5%28x-2%29%2Ady%2Fdx%3Dy%2B2%2A%28x-2%29%26%23179%3B+++++%3D%3D%26gt%3B%28x-2%29dy%3D%5By%2B2%2A%28x-2%29%26%23179%3B%5Ddx+++++++++%3D%3D%26gt%3B%28x-2%29dy-ydx%3D2%2A%28x-2%29%26%23179%3Bdx+++++++++%3D%3D%26gt%3B%5B%28x-2%29dy-ydx%5D%2F%28x-2%29%26%23178%3B%3D2%2A%28x-2%29dx+++++++++%3D%3D%26g)
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