2.227   ODE No. 227

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

\[ (4 y(x)-3 x-5) y'(x)-3 y(x)+7 x+2=0 \] Mathematica : cpu = 0.0121642 (sec), leaf count = 107

\[\left \{\left \{y(x)\to \frac {1}{4} (3 x+5)-\frac {1}{2} i \sqrt {-4 c_1-2 \left (-\frac {7 x^2}{2}-2 x\right )-\frac {1}{4} (3 x+5)^2}\right \},\left \{y(x)\to \frac {1}{4} (3 x+5)+\frac {1}{2} i \sqrt {-4 c_1-2 \left (-\frac {7 x^2}{2}-2 x\right )-\frac {1}{4} (3 x+5)^2}\right \}\right \}\]

Maple : cpu = 0.155 (sec), leaf count = 38

\[ \left \{ y \left ( x \right ) ={\frac {29}{19}}-{\frac {1}{38\,{\it \_C1}} \left ( -{\frac { \left ( 57\,x-21 \right ) {\it \_C1}}{2}}+{\frac {1}{2}\sqrt {-19\, \left ( 19\,x-7 \right ) ^{2}{{\it \_C1}}^{2}+4}} \right ) } \right \} \]