2.1395   ODE No. 1395

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

\[ y''(x)=-\frac {y(x)}{(a x+b)^4} \] Mathematica : cpu = 0.0667372 (sec), leaf count = 59

\[\left \{\left \{y(x)\to c_1 e^{\frac {i}{a (a x+b)}} (a x+b)-\frac {1}{2} i c_2 e^{-\frac {i}{a (a x+b)}} (a x+b)\right \}\right \}\] Maple : cpu = 0.072 (sec), leaf count = 39

\[ \left \{ y \left ( x \right ) = \left ( ax+b \right ) \left ( {\it \_C1}\,\sin \left ( {\frac {1}{a \left ( ax+b \right ) }} \right ) +{\it \_C2}\,\cos \left ( {\frac {1}{a \left ( ax+b \right ) }} \right ) \right ) \right \} \]