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 = 0.0721561 (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 = 0.075 (sec), leaf count = 39

\[\left \{y \left (x \right ) = \left (a x +b \right ) \left (c_{1} \sin \left (\frac {1}{\left (a x +b \right ) a}\right )+c_{2} \cos \left (\frac {1}{\left (a x +b \right ) a}\right )\right )\right \}\]