Solve the following separable differential equation

[From: ] [author: ] [Date: 11-06-06] [Hit: ]

dy/dx = 1+y^2

Find the particular solution (ie. y = ...)

rearrange as

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

x = arctan y

y = tan x

Check:-

dy/dx=sec^2x=1+tan^2x=1+y^2

Differential= 2y

Integral =x + (1/3)y3

keywords: equation,the,differential,following,Solve,separable,Solve the following separable differential equation