{"action":"created","issue":{"url":"https://api.github.com/repos/sympy/sympy/issues/10870","repository_url":"https://api.github.com/repos/sympy/sympy","labels_url":"https://api.github.com/repos/sympy/sympy/issues/10870/labels{/name}","comments_url":"https://api.github.com/repos/sympy/sympy/issues/10870/comments","events_url":"https://api.github.com/repos/sympy/sympy/issues/10870/events","html_url":"https://github.com/sympy/sympy/pull/10870","id":142094973,"number":10870,"title":"[WIP] Airy's Equation and Bessel's equation solving","user":{"login":"nagarakshay","id":17586347,"avatar_url":"https://avatars.githubusercontent.com/u/17586347?v=3","gravatar_id":"","url":"https://api.github.com/users/nagarakshay","html_url":"https://github.com/nagarakshay","followers_url":"https://api.github.com/users/nagarakshay/followers","following_url":"https://api.github.com/users/nagarakshay/following{/other_user}","gists_url":"https://api.github.com/users/nagarakshay/gists{/gist_id}","starred_url":"https://api.github.com/users/nagarakshay/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/nagarakshay/subscriptions","organizations_url":"https://api.github.com/users/nagarakshay/orgs","repos_url":"https://api.github.com/users/nagarakshay/repos","events_url":"https://api.github.com/users/nagarakshay/events{/privacy}","received_events_url":"https://api.github.com/users/nagarakshay/received_events","type":"User","site_admin":false},"labels":[],"state":"open","locked":false,"assignee":null,"milestone":null,"comments":14,"created_at":"2016-03-19T19:38:59Z","updated_at":"2016-03-21T14:51:42Z","closed_at":null,"pull_request":{"url":"https://api.github.com/repos/sympy/sympy/pulls/10870","html_url":"https://github.com/sympy/sympy/pull/10870","diff_url":"https://github.com/sympy/sympy/pull/10870.diff","patch_url":"https://github.com/sympy/sympy/pull/10870.patch"},"body":"Implementation of Airy's equation and Bessel's equation\r\n\r\nFixes #9819 \r\n[1]Airy's equation\r\nEq(x ** 2*Derivative(y(x),x,x)-(ax+b)*y(x))\r\nThe above equation now has solution c1*Ai(x)+x2*Bi(x)\r\nwhere Ai(x) and Bi(x) are Airy's functions of first and second kind respectively\r\n\r\n[2]Bessel's equation\r\nEq(x**2 * Derivative(y(x),x,x)+x * Derivative(y(x),x)+(x ** 2-n ** 2)*y(x))\r\nThe above equation now has solution c1 *  besselj(n,x)+c2*bessely(n,x)\r\nwhere besselj(n,x) and bessely(n,x) are Bessel's functions of first and second kind respectively"},"comment":{"url":"https://api.github.com/repos/sympy/sympy/issues/comments/199323747","html_url":"https://github.com/sympy/sympy/pull/10870#issuecomment-199323747","issue_url":"https://api.github.com/repos/sympy/sympy/issues/10870","id":199323747,"user":{"login":"jksuom","id":6929119,"avatar_url":"https://avatars.githubusercontent.com/u/6929119?v=3","gravatar_id":"","url":"https://api.github.com/users/jksuom","html_url":"https://github.com/jksuom","followers_url":"https://api.github.com/users/jksuom/followers","following_url":"https://api.github.com/users/jksuom/following{/other_user}","gists_url":"https://api.github.com/users/jksuom/gists{/gist_id}","starred_url":"https://api.github.com/users/jksuom/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/jksuom/subscriptions","organizations_url":"https://api.github.com/users/jksuom/orgs","repos_url":"https://api.github.com/users/jksuom/repos","events_url":"https://api.github.com/users/jksuom/events{/privacy}","received_events_url":"https://api.github.com/users/jksuom/received_events","type":"User","site_admin":false},"created_at":"2016-03-21T14:51:42Z","updated_at":"2016-03-21T14:51:42Z","body":"I do not know how match behaves. I suspect that match does not see brackets or parentheses. But you should experiment and investigate that. "}}