3.227   ODE No. 227

$$\boxed{{\displaystyle (4y\left(x\right)-3x-5)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-3y\left(x\right)+7x+2=0}}$$

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

Mathematica: cpu = 0.010501 (sec), leaf count = 107 $$\{\{y(x)\to \frac{1}{4}(3x+5)-\frac{1}{2}i\sqrt{-4c_1-2(-\frac{7x^2}{2}-2x)-\frac{1}{4}(3x+5{)}^2}\},\{y(x)\to \frac{1}{4}(3x+5)+\frac{1}{2}i\sqrt{-4c_1-2(-\frac{7x^2}{2}-2x)-\frac{1}{4}(3x+5{)}^2}\}\}$$

Maple: cpu = 0.109 (sec), leaf count = 38 $$\{y\left(x\right)=\frac{29}{19}-\frac{1}{38\mathit{\_}\mathit{C}\mathit{1}}(-\frac{(57x-21)\mathit{\_}\mathit{C}\mathit{1}}{2}+\frac{1}{2}\sqrt{-19{(19x-7)}^2{\mathit{\_}\mathit{C}\mathit{1}}^2+4})\}$$