How to solve y''+y'/x+y=0 using B.C.s y(0)=0 and y'(0)=1

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Tilak Mallikarjun 2017-2-16

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https://ww2.mathworks.cn/matlabcentral/answers/325329-how-to-solve-y-y-x-y-0-using-b-c-s-y-0-0-and-y-0-1

编辑： Torsten 2017-2-16

I have tried Dsolve,ode45,ode23,ode15s. But didn't prove any luck.

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Roger Stafford 2017-2-16

The reason for your trouble with the numerical ode’s is that initially at x = 0, you must have y” an infinite value to satisfy the equation y” + y’/x + y = 0. That is because y’/x is equal to 1/0 = infinity at that first point. This creates unsurmountable difficulties for the numerical ode procedures. You probably need to reconsider either those initial conditions or else the differential equation itself.