Solve ` (1 + x ^(2)) (dy )/(dx) + y = e ^( tan ^(-1) x )`.

Solve the following differential equations (i) (1+x^(2)) (dy)/(dx) + y = e^(tan^(-1))x (ii) (1+x^(2))(dy)/(dx) + y = tan^(-1)x

e^(-x) (dy)/(dx) = y(1+ tanx + tan^(2) x)

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

Solve the following differential equations. (1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x)

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

Solve : (1 + tan y ) (dx - dy ) + 2x dy = 0