2.1301   ODE No. 1301

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

\[ \left (a x^2+b x\right ) y''(x)-2 a y(x)+2 b y'(x)=0 \] Mathematica : cpu = 0.0329597 (sec), leaf count = 30

\[\left \{\left \{y(x)\to \frac {\frac {c_2 (a x+b)^3}{a}+3 c_1}{3 x}\right \}\right \}\]

Maple : cpu = 0.023 (sec), leaf count = 19

\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}+{\it \_C2}\, \left ( ax+b \right ) ^{3}}{x}} \right \} \]