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 = 0.0232917 (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 = 0.01 (sec), leaf count = 16

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