अवकल समीकरण `x=1+(xy(dy)/(dx))+(x^(2)y^(2))/(2!)((dy)/(dx))^(2)+(x^(3)y^(3))/(3!)((dy)/(dx))^(3)+...` की घात होगी

The solution of the differential equation x=1+xy(dy)/(dx)+(x^(2)y^(2))/(2!)((dy)/(dx))^(2)+(x^(3)y^(3))/(3!)((dy)/(dx))^(3)+...is

(dy)/(dx)=x^(3)y^(3)-xy

(dy)/(dx)=(x+2)/(2y-3)

Solve (dy)/(dx)=(x^(2)+3y^(2))/(2xy)

Solution of the differentiable equation x=1+xy((dy)/(dx))+((xy)^(2))/(2!)((dy)/(dx))^(2)+((xy)^(3))/(3!)((dy)/(dx))^(3)+

The solution of the differential equation x=1+x y(dy)/(dx)+(x^2y^2)/(2!)((dy)/dx)^2+(x^3y^3)/(3!)((dy)/(dx))^3+... i s

The solution of the differential equation x=1+x y(dy)/(dx)+(x^2y^2)/(2!)((dy)/dx)^2+(x^3y^3)/(3!)((dy)/(dx))^3+... i s