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 = 0.0198809 (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 = 0.063 (sec), leaf count = 29

\[\{y \left (x \right ) = \left (c_{1} \BesselJ \left (\nu , x\right )^{2}+c_{2} \BesselY \left (\nu , x\right )^{2}+c_{3} \BesselJ \left (\nu , x\right ) \BesselY \left (\nu , x\right )\right ) x\}\]