Find the particular solution of the diff...

Find the particular solution of the differential equation
`(1+e^(2x))dy+(1+y^(2))e^(x)dx=0.` Given that `y=1` when `x=0.`

Verified by Experts

The correct Answer is:

`tan^(-1) y + tan^(-1)(e^(x)) = (pi)/(2)`

Similar Questions

Explore conceptually related problems

Find the particular solution of the differentia equation : 2y e^(x//y)dx+(y - 2x e^(x//y))dx = 0 , given that x = 0 when y = 1.

Find the general solution of the differential equation (dy)/(dx) = (1 + x^(2))(1 + y^(2))

Find the particular solution of the differential equation : x^(2)dy = y(x+y)dx = 0 , when x = 1, y = 1.

Find the particular solution of the differential equaiton (x-sin y)dy + (tan y)dx = 0 , given that y = 0 when x = 0.

Find the general solution of the differential equation ( x+y) (dy)/(dx)=1

Find the general solution of the differential equation y dx - (x + 2y^(2))dy = 0 .

The general solution of the differential equation (e^(x)+1)y dy = (y+1)e^(x) dx is

The general solution of the differential equation e^(x)dy + (ye^(x)+2x) dx =0 is