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Singular solution - Wikipedia, the free encyclopedia
A singular solution y s ( x ) of an ordinary differential equation is a solution that is tangent to every solution from the family of general solutions. By tangent we mean that there is a ...
en.wikipedia.org/wiki/Singular_solution |
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Singular Solution Differential Equations discussion ... Here is the differential equation I have: dy/dx=x(1-y^2)^(1/2) . I'm supposed to find a singular solution to that equation but I'm really not sure how to figure it out. I can seperate and integrate it, but then what is the singular solution?
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An envelope of the integral curves means always a singular solution, but sometimes a singular solution is only the locus of the singular points of the curves (e.g. for the equation $3y'\sqrt{y} = 1$ ).
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CiteSeerX - Document Details (Isaac Councill, Lee Giles): This paper is devoted to study the nonlinear parabolic equation (E) z t = jz xx j ... A Very Singular Solution For The Dual Porous Medium Equation And The Asymptotic Behaviour Of General Solutions (1993) [12 citations — 5 self]
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