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## Homework Statement

Find the general solution to the following differential equation.

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

## Homework Equations

## The Attempt at a Solution

I got all x terms on one side and all y terms on the otherside

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

integrate

x^2 + c = tan(y)

y = tan-inverse(x^2 + c)

Can somebody tell me if this is right ?

my book says the solution is y = tan(x^2 + c)