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 = 0.0146681 (sec), leaf count = 121

\[\left \{\left \{y(x)\to \frac {1}{12} (5 x+8)-\frac {i \sqrt {-24 \left (-\frac {x^2}{12}-\frac {x}{4}\right )-\frac {1}{12} (5 x+8)^2-12 c_1}}{2 \sqrt {3}}\right \},\left \{y(x)\to \frac {1}{12} (5 x+8)+\frac {i \sqrt {-24 \left (-\frac {x^2}{12}-\frac {x}{4}\right )-\frac {1}{12} (5 x+8)^2-12 c_1}}{2 \sqrt {3}}\right \}\right \}\] Maple : cpu = 0.143 (sec), leaf count = 32

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