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 = 0.0131208 (sec), leaf count = 107

\[\left \{\left \{y(x)\to \frac {1}{4} (3 x+5)-\frac {1}{2} i \sqrt {-2 \left (-\frac {7 x^2}{2}-2 x\right )-\frac {1}{4} (3 x+5)^2-4 c_1}\right \},\left \{y(x)\to \frac {1}{4} (3 x+5)+\frac {1}{2} i \sqrt {-2 \left (-\frac {7 x^2}{2}-2 x\right )-\frac {1}{4} (3 x+5)^2-4 c_1}\right \}\right \}\] Maple : cpu = 0.143 (sec), leaf count = 33

\[ \left \{ y \left ( x \right ) ={\frac {1}{76\,{\it \_C1}} \left ( -\sqrt {4-6859\, \left ( x-{\frac {7}{19}} \right ) ^{2}{{\it \_C1}}^{2}}+ \left ( 57\,x+95 \right ) {\it \_C1} \right ) } \right \} \]