2.229   ODE No. 229

\[ (12 y(x)-5 x-8) y'(x)-5 y(x)+2 x+3=0 \] Mathematica : cpu = 0.0247762 (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 = 0.164 (sec), leaf count = 32


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