I have differential equation $x\cdot\sqrt{4+y^2}\,dx + y\cdot\sqrt{1+x^2}\,dy = 0$, which is simple to solve on paper, but I have problem solving it with Maple (I use 10th, tried on 14th also). When applying dsolve it complains that it is not ODE. Any suggestions? Thank you in advance
Differential equation problem in Maple
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$\begingroup$
ordinary-differential-equations
maple
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1Did you try dividing through by $dx$? This will eliminate $dx$ and replace $dy$ with $y'$. – 2011-03-08
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0I believe the command you are looking for is "dsolve(x*sqrt(4+y(x)^2)+y(x)*sqrt(1+x^2)*diff(y(x),x), y(x))" – 2011-03-08
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0@Fabian Could post as an answer. Because it is perfectly working solution. Thank you. – 2011-03-08
1 Answers
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The command you are looking for is
dsolve(x*sqrt(4+y(x)^2)+y(x)*sqrt(1+x^2)*diff(y(x),x), y(x))
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2It looks better if you include code in backticks (\`code\`): `dsolve(x*sqrt(4+y(x)^2)+y(x)*sqrt(1+x^2)*diff(y(x),x), y(x))` – 2011-03-08