2.1133   ODE No. 1133

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

\[ -(3 x-4) y'(x)+(2 x-1) y''(x)+(x-3) y(x)=0 \] Mathematica : cpu = 0.0555587 (sec), leaf count = 52

\[\left \{\left \{y(x)\to 2^{5/8} c_1 e^{x-\frac {1}{2}}-\frac {c_2 e^{x-\frac {1}{2}} \Gamma \left (-\frac {1}{4},\frac {1}{4} (2 x-1)\right )}{4 \sqrt [8]{2}}\right \}\right \}\] Maple : cpu = 0.272 (sec), leaf count = 37

\[ \left \{ y \left ( x \right ) ={{{\rm e}^{{\frac {x}{2}}}} \left ( {{\sl U}\left (1,\,{\frac {3}{4}},\,{\frac {x}{2}}-{\frac {1}{4}}\right )}{\it \_C2}+{{\sl M}\left (1,\,{\frac {3}{4}},\,{\frac {x}{2}}-{\frac {1}{4}}\right )}{\it \_C1} \right ) {\frac {1}{\sqrt [4]{2\,x-1}}}} \right \} \]