Computing a differential equation using a bessel function.
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How do we use the bessel function of :
y = besselj(0,x)
to compute the differntial equation of 
?
?1 个评论
John D'Errico
2022-10-23
Please dont ask exactly the same question again, just to get yet more information. I closed your first question.
采纳的回答
The solution y of this differential equation is a combination of J_0(x) and Y_0(x), the Bessel function of the first and second kind of order 0.
So using it to solve the differential equation makes no sense.
syms x y(x)
eqn = diff(y,x,2)*x^2 + diff(y,x)*x + x^2*y == 0;
Dy = diff(y,x);
conds = [y(0)==1,Dy(0)==0];
sol = dsolve(eqn,conds);
hold on
fplot(sol,[0 100])
x = 0:0.1:100;
plot(x,besselj(0,x))
hold off
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