dy/dx+x^3(y-x)^2=1求微分方程的通解
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dy/dx+x^3(y-x)^2=1求微分方程的通解dy/dx+x^3(y-x)^2=1求微分方程的通解dy/dx+x^3(y-x)^2=1求微分方程的通解设y''=dy/dx,(y''-1)+x^3(y
dy/dx+x^3(y-x)^2=1求微分方程的通解
dy/dx+x^3(y-x)^2=1求微分方程的通解
dy/dx+x^3(y-x)^2=1求微分方程的通解
设y'=dy/dx,
(y'-1)+x^3(y-x)^2=0;
x^3=-(y'-1)/(y-x)^2=(1/(y-x))'
所以x^4+C=4/(y-x).
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