y=1+xe的y次方的二介隐函数...我二阶化出来和答案对不上啊....

Question

y=1+xe的y次方的二介隐函数...我二阶化出来和答案对不上啊....

Answer 1

y = 1 + x e^ydy/dx = e^y + x e^y dy/dx(1 - x e^y) dy/dx = e^ydy/dx = e^y/(1 - x e^y) = 1/(e^-y - x) = (e^-y - x)^(-1)d²y/dx² = -(e^-y - x)^(-2) [e^-y(-dy/dx) - 1]= -1/(e^-y - x)² * [-e^...