this example was in a book I bought ( maths methods for physics, Mathews and Walker)(adsbygoogle = window.adsbygoogle || []).push({});

dy/dx + sqrt( (1-y^2) / (1-x^2) ) = 0

dy/(1-y^2) + dx/(1-x^2) = 0

sin -1 y + sin -1 x = c [1]

or, taking the sine of both sides

x (1-y^2)^1/2 + y (1-x^2)^1/2 = sin c [2]

My response/confusion with this.....

[1] Ok so i'm fine with this, standard integral

[2] ???Where on earth did this come from

just by taking the sin of the equation

above.

Please help if you can.

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# ODE example

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