ODE No. 148

\[ \left (x^2+1\right ) y'(x)+x y(x)-1=0 \] Mathematica : cpu = 0.0220228 (sec), leaf count = 30

DSolve[-1 + x*y[x] + (1 + x^2)*Derivative[1][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to \frac {\sinh ^{-1}(x)}{\sqrt {x^2+1}}+\frac {c_1}{\sqrt {x^2+1}}\right \}\right \}\] Maple : cpu = 0.011 (sec), leaf count = 16

dsolve((x^2+1)*diff(y(x),x)+x*y(x)-1 = 0,y(x))
 

\[y \left (x \right ) = \frac {\arcsinh \left (x \right )+c_{1}}{\sqrt {x^{2}+1}}\]