2.1509   ODE No. 1509

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ \left (\left (1-4 \nu ^2\right ) x+4 x^3\right ) y'(x)+\left (4 \nu ^2-1\right ) y(x)+x^3 y^{(3)}(x)=0 \] Mathematica : cpu = 0.011304 (sec), leaf count = 34

\[\left \{\left \{y(x)\to c_1 x J_{\nu }(x){}^2+c_3 x Y_{\nu }(x){}^2+c_2 x J_{\nu }(x) Y_{\nu }(x)\right \}\right \}\]

Maple : cpu = 0.056 (sec), leaf count = 30

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,x \left ( {{\sl J}_{\nu }\left (x\right )} \right ) ^{2}+{\it \_C2}\,x \left ( {{\sl Y}_{\nu }\left (x\right )} \right ) ^{2}+{\it \_C3}\,x{{\sl J}_{\nu }\left (x\right )}{{\sl Y}_{\nu }\left (x\right )} \right \} \]