已知x^2y+2xy+3=-18 求dy/dx
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已知x^2y+2xy+3=-18 求dy/dx
已知x^2y+2xy+3=-18 求dy/dx
已知x^2y+2xy+3=-18 求dy/dx
先把方程化为:x^2y+2xy=-15
利用隐函数求导法则将方程两边同时对x求导得:
2xy+x^2*dy/dx+2y+2x*dy/dx=0
移项得:dy/dx=-(2xy+2y)/(x^2+2x)
已知x^2y+2xy+3=-18 求dy/dx
已知x^2y+2xy+3=-18 求dy/dx
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微分方程求解 (x^2y^3+xy)dy=dx
解微分方程 (x^2y^3+xy)dy=dx
dy/dx=(x+y^3)/(xy^2)
微分方程求解 (x^2y^3+xy)dy=dx