2.996   ODE No. 996

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

\[ y'(x)=\frac {(y(x)-\text {Si}(x))^2+\sin (x)}{x} \] Mathematica : cpu = 26.6313 (sec), leaf count = 0 , could not solve

DSolve[Derivative[1][y][x] == (Sin[x] + (-SinIntegral[x] + y[x])^2)/x, y[x], x]

Maple : cpu = 0.127 (sec), leaf count = 15

\[ \left \{ y \left ( x \right ) ={\it Si} \left ( x \right ) + \left ( -\ln \left ( x \right ) +{\it \_C1} \right ) ^{-1} \right \} \]