2.1278   ODE No. 1278

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

\[ f(x) y(x)+4 x^2 y''(x)+4 x y'(x)=0 \] Mathematica : cpu = 0.405725 (sec), leaf count = 0 , could not solve

DSolve[f[x]*y[x] + 4*x*Derivative[1][y][x] + 4*x^2*Derivative[2][y][x] == 0, y[x], x]

Maple : cpu = 0. (sec), leaf count = 0 , result contains DESol

\[\left \{y \left (x \right ) = \mathit {DESol}\left (\left \{\frac {d^{2}}{d x^{2}}\textit {\_Y} \left (x \right )+\frac {\frac {d}{d x}\textit {\_Y} \left (x \right )}{x}+\frac {\textit {\_Y} \left (x \right ) f \left (x \right )}{4 x^{2}}\right \}, \left \{\textit {\_Y} \left (x \right )\right \}\right )\right \}\]