2.790   ODE No. 790

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

$$y^{\prime }(x)=\frac{-2x^{2}y(x)\coth \left(\frac{x+1}{x-1}\right)+x^4\coth \left(\frac{x+1}{x-1}\right)+y(x{)}^2\coth \left(\frac{x+1}{x-1}\right)+2x\log \left(\frac{1}{x-1}\right)-\coth \left(\frac{x+1}{x-1}\right)}{\log \left(\frac{1}{x-1}\right)}$$ ✓ Mathematica : cpu = 81.8991 (sec), leaf count = 127

$$\left\{\{y(x)\to \frac{\exp ({\int }_1^x\frac{2\coth (\frac{K[5]}{K[5]-1}+\frac{1}{K[5]-1})}{\log \left(\frac{1}{K[5]-1}\right)}dK[5])}{-{\int }_1^x\frac{\exp ({\int }_1^{K[6]}\frac{2\coth (\frac{K[5]}{K[5]-1}+\frac{1}{K[5]-1})}{\log \left(\frac{1}{K[5]-1}\right)}dK[5])\coth (\frac{K[6]}{K[6]-1}+\frac{1}{K[6]-1})}{\log \left(\frac{1}{K[6]-1}\right)}dK[6]+c_1}+x^2+1\}\right\}$$ ✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve(diff(y(x),x) = (2*x*ln(1/(x-1))-coth((1+x)/(x-1))+coth((1+x)/(x-1))*y(x)^2-2*coth((1+x)/(x-1))*x^2*y(x)+coth((1+x)/(x-1))*x^4)/ln(1/(x-1)),y(x))