Integrate the following differential equation:

Make the substitution which gives us and so

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Stumbling Robot

A Fraction of a Dot
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Integrate the differential equation *y′ = (y / x) + sin (y / x)*

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Integrate the following differential equation:

Make the substitution which gives us and so

Wondering about the integral for csc(v) – tanx/2 substitution works but you seem to have an intermediate result involving sin and cos, leading one to think a partial fraction method with sin2x identity was used. Curious…

Nice !

Tom, maybe you had your “eureka” moment like I just did. Admittedly before this I was consulting Wolfram for the solution to the integral of 1/sin(x) but RoRi gave me the hint with the half-angle formulas… and it all fell into place perfectly