2.786   ODE No. 786

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

$$y^{\prime }(x)=\frac{axy(x{)}^2\cosh (x)+b{x}^3\cosh (x)+y(x)\log (x)}{x\log (x)}$$ ✓ Mathematica : cpu = 4.45865 (sec), leaf count = 61

$$\left\{\{y(x)\to \frac{\sqrt{b}x\tan (\sqrt{a}\sqrt{b}{\int }_1^x\frac{\cosh (K[1])K[1]}{\log (K[1])}dK[1]+\sqrt{a}\sqrt{b}{c}_1)}{\sqrt{a}}\}\right\}$$ ✓ Maple : cpu = 0.089 (sec), leaf count = 33

$$\{y\left(x\right)=\frac{\sqrt{ab}x\tan \left(\sqrt{ab}(c_1+\int \frac{x\cosh \left(x\right)}{\ln \left(x\right)}dx)\right)}{a}\}$$