Solve $xy\left(\frac{dy}{dx}\right)=\sqrt{x^2-y^2-x^2y^2-1}$
I have tried solvable by $x, y, p,$ Clairaut's. Nothing seems to work.
Ordinary Differential Equation of Degree two
3
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ordinary-differential-equations
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0Do you mean $$\sqrt{x^2-y^2-x^2y^2-1}$$ at the right hand side? – 2017-02-04
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0@Harsh Kumar Be careful of your edit. It might be the RHS is the one I suggested in the comment. Lets wait for the OP to respond? – 2017-02-04
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0@Harsh Kumar- Yes – 2017-02-04
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0Is it OK now or not. – 2017-02-04
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0@Moo So only numerical method will work for this? – 2017-02-04
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0@HarshKumar Yes that's the RHS – 2017-02-04
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0@JJacquelin Do you mean to say the Order is one, and not two? d^2y/dx^2 has order 2, but degree 1. I mentioned degree two because I thought it would be the form in which equation can be solved. – 2017-02-04
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0Sorry for my comment, deleted. – 2017-02-04