`x(x-1)(dy)/(dx)+(x-1)y=x^(2)`

x(x-1)(dy)/(dx)-(x-2)y=x^(3)(2x-1)

The solution of differential equation x^(2)=1+((x)/(y))^(-1)(dy)/(dx)+(((x)/(y))^(-2)((dy)/(dx))^(2))/(2!)+(((x)/(y))^(-3)((dy)/(dx))^(3))/(3!)

The solution of differential equation x^(2)=1 + (x/y)^(-1) (dy)/(dx) + ((x/y)^(-2)((dy)/(dx))^(2))/(2)+.....

Solve x(x^(2)+1)(dy)/(dx)=y(1-x^(2))+x^(2)ln x

(dy)/(dx)-2/(x+1) y=(x+1)^3

x(x^(2)+1)(dy)/(dx)=y(1-x^(2))+x^(3)*ln x

(dy)/(dx) of (x^(y))(y^(x))=1

(dy)/(dx)=(x+y+1)/(2x+2y+3)

If y_(1)(x) and y_(2)(x) are two solutions of (dy)/(dx)+f(x)y=r(x), then y_(1)(x)+y_(2)(x) is solution of : (A) (dy)/(dx)+f(x)y=0 (B) (dy)/(dx)+2f(x)y=r(x)(C)(dy)/(dx)+f(x)y=2r(x)(D)(dy)/(dx)+2f(x)y=2r(x)

(y-x(dy)/(dx))=3(1-x^(2)(dy)/(dx))