x^2+xy+y^3 求d^2y/dx^2用 dy/dx=-F'x/F'y 计算此二阶导数,怎么计算
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x^2+xy+y^3 求d^2y/dx^2用 dy/dx=-F'x/F'y 计算此二阶导数,怎么计算
x^2+xy+y^3 求d^2y/dx^2
用 dy/dx=-F'x/F'y 计算此二阶导数,怎么计算
x^2+xy+y^3 求d^2y/dx^2用 dy/dx=-F'x/F'y 计算此二阶导数,怎么计算
已知方程x^2+xy+y^3=0确定y=f(x),不解方程, 求d^2y/dx^2 :
两边对x求导,记住y是x的函数,要把一含y的项,如y³,看作中间变量,对它求导时要
(dy³/dy)(dy/dx)
2x+y+x(dy/dx)+3y²(dy/dx)=0
两边对x再求导一次:
2+dy/dx+dy/dx+x(d²y/dx²)+6y(dy/dx)²+3y²(d²y/dx²)=0
∴d²y/dx²=-2[1+y′+3(y′)²]/(3y²+x)
x^2+xy+y^3=1,求dy/dx
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x^2+xy+y^3 求d^2y/dx^2用 dy/dx=-F'x/F'y 计算此二阶导数,怎么计算
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y=y(x),由方程e^y+6xy+x^2-1=0所确定,求d^2y/dx^2,x=0时.
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y是x 的隐函数的导数,1)、xy-e^x+e^y=1,求y' .2)设y=sin(x+y),求dy/dx,d^2y/dx^2;
下面都是求微分方程的通解:1、(y^-2xy)dx+x^2dy=0 2、(x^2+y^2)dy/dx=2xy 3、xy’-y=xtan(x/y)4、xy’-y=(x+y)ln[(x+y)/x] 5、xy’=√(x^2-y^2) +y新手求学,请大哥大姐们指点下~
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
dy/dx=(x+y^3)/xy^2
常微分方程dy/dx=(x^3+xy^2)/y