2.227   ODE No. 227

\[ (4 y(x)-3 x-5) y'(x)-3 y(x)+7 x+2=0 \] Mathematica : cpu = 0.0223636 (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 = 0.165 (sec), leaf count = 33


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