2.148   ODE No. 148

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

\[ \left (x^2+1\right ) y'(x)+x y(x)-1=0 \] Mathematica : cpu = 0.012339 (sec), leaf count = 30

\[\left \{\left \{y(x)\to \frac {\sinh ^{-1}(x)}{\sqrt {x^2+1}}+\frac {c_1}{\sqrt {x^2+1}}\right \}\right \}\] Maple : cpu = 0.008 (sec), leaf count = 16

\[ \left \{ y \left ( x \right ) ={({\it Arcsinh} \left ( x \right ) +{\it \_C1}){\frac {1}{\sqrt {{x}^{2}+1}}}} \right \} \]