2.378   ODE No. 378

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

\[ (a+x) y'(x)+y'(x)^2-y(x)=0 \] Mathematica : cpu = 0.0051076 (sec), leaf count = 13

\[\left \{\left \{y(x)\to c_1 \left (a+c_1+x\right )\right \}\right \}\]

Maple : cpu = 0.638 (sec), leaf count = 20

\[ \left \{ y \left ( x \right ) ={\it \_C1}\, \left ( {\it \_C1}+a+x \right ) ,y \left ( x \right ) =-{\frac { \left ( x+a \right ) ^{2}}{4}} \right \} \]