Separable Differential Equation dy/dz

[BarackObama]

Homework Statement

dy/dz = ycosx/(1+y^2), y(0) = 1

Stewart 6e, 10.3 # 12

Homework Equations

The Attempt at a Solution

∫(1+y^2)dy/y = ∫cosxdy
-------------- = sinx + C

How do I find the integral of this product? Do I use integration by parts?

 

[tiny-tim]

Good morning again, Mr President!

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∫(1+y^2)dy/y = ∫cosxdy
-------------- = sinx + C

How do I find the integral of this product? Do I use integration by parts?

Go for the obvious …

(1 + y²)/y = … ? ​