Returning implicit solution instead of explicit solution?
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I tried solving a differential equation
I wrote the code
syms y(x)
ode = diff(y,x) == ((y/x)*cos(y/x))/((x/y).*sin(y/x)+cos(y/x))
ySol(x)= dsolve(ode)
The software is returning implicit solution instead of explicit one but I tried it on Wolfram but it returned an explicit solution. Please help me..
回答（1 个）
Walter Roberson
2017-10-28
0 个投票
Wolfram Alpha does not return an explicit solution for this.
It returns Log[Sin[y[x]/x]] + Log[y[x]/x] == -Log[x] + Subscript[c, 1]
which is an implicit solution.
3 个评论
Karan Gill
2017-10-30
Additional comment: I think the implicit solution from dsolve could be more helpful. Will follow up on this.
Gopalkrishna Pai
2017-11-11
Walter Roberson
2017-11-11
The code such that the warning does not appear would just consist of turning the warning off, running the same program as above and failing to get a useful solution, and then turning the warning back on again.
Either the ODE has no explicit solution, or else the explicit solution is beyond the abilities of MATLAB, Maple, and Mathematica.
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2017-10-28
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