2.229   ODE No. 229

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

\[ (12 y(x)-5 x-8) y'(x)-5 y(x)+2 x+3=0 \] Mathematica : cpu = 0.012704 (sec), leaf count = 77

\[\left \{\left \{y(x)\to \frac {1}{12} \left (-i \sqrt {-16 \left (9 c_1+4\right )-x^2-8 x}+5 x+8\right )\right \},\left \{y(x)\to \frac {1}{12} \left (i \sqrt {-16 \left (9 c_1+4\right )-x^2-8 x}+5 x+8\right )\right \}\right \}\]

Maple : cpu = 0.174 (sec), leaf count = 32

\[ \left \{ y \left ( x \right ) ={\frac {1}{12\,{\it \_C1}} \left ( -\sqrt { \left ( x+4 \right ) ^{2}{{\it \_C1}}^{2}+24}+ \left ( 5\,x+8 \right ) {\it \_C1} \right ) } \right \} \]