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

Solve each of the following initial value problems: (dy)/(dx)+(2x)/(x^(2)+1)y=(1)/((x^(2)+1)^(2)),y(0)=0( ii) (x^(2)+1)y'-2xy=(x^(4)+2x^(2)+1)cos x,y(0)=0

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

Solve each of the following initial value problems: (dy)/(dx)+(2x)/(x^2+1)y=1/((x^2+1)^2),y(0)=0 (ii) (x^2+1)(dy)/(dx) -2x y=(x^4+2x^2+1)cosx ,y(0)=0

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

Solve :(d^(2)y)/(dx^(2))=(2x)/((1+x^(2))^(2)); given that x=0,(dy)/(dx)=1 and y=2

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

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

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!)

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