Stuck on integrating an expression in a homogeneous ODE

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Joe20
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Hi, I have solved this ODE till half way and got stucked on the integration of some weird expression. Need help for this.
Thank you!
 
Attachments
  • Handwritten derivation solving a homogeneous ODE via substitution y = zx, ending with the integral of 1/((1+z^2)^(1/2) - z) dz on the left and the integral of 1/x dx on the right.
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Discussion

Hi Alexis87,

Rationalizing the denominator should help.
 

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