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 = 0.0278379 (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 = 0.178 (sec), leaf count = 33

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