Express the following differential equation in the form `f(x)dx+g(y)dy=0`.
`(dy)/(dx)=(1+y^(2))/(1+x^(2))`

Express the following differential equation in the form f(x)dx+g(y)dy=0 . (dy)/(dx)=e^(x-y)+x^(2)e^(-y)

Express the following differential equation in the form f(x)dx+g(y)dy=0 . (dy)/(dx)+x^(2)=x^(2)e^(3y)

Express the following differential equations in the form f(x)dx+g(y)dy = 0 (i) (dy)/(dx) = (2y)/(x) (ii) x+y(dy)/(dx) = 0 (iii) (dy)/(dx) = e^(x-y) + x^(2).e^(-y) (iv) (dy)/(dx) + x^(2) = x^(2)e^(3y)

Express the following differential equations in the form (dx)/(dy) = F((x)/(y)) (i) (1+e^((x)/(y)))dx + e^((x)/(y))(1-(x)/(y))dy = 0 (ii) xdy - ydx + y e^(-(2x)/(y)) dy = 0

Solve the following differential equations. (2x+y+1)dx+(4x+2y-1)dy=0

Solve the following differential equations : y -x (dy)/(dx) =3 (1+x^(2) (dy)/(dx))

Solve the following differential equation: (dy)/(dx)=(x+y+1)^(2)

Solve the following differential equations x^(2)(y+1)dx+y^(2)(x-1)dy=0