2.1674   ODE No. 1674

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

\[ y(x) \left (a (a+b)+b^2 c^2 x^{2 b}\right )-x (2 a+b-1) y'(x)+x^2 y''(x)=0 \] Mathematica : cpu = 0.0612403 (sec), leaf count = 69

\[\left \{\left \{y(x)\to 2^{-\frac {a+b}{b}} c^{a/b} \left (x^{2 b}\right )^{\frac {a}{2 b}} \left (c_2 \sin \left (c \sqrt {x^{2 b}}\right )+2 c_1 \cos \left (c \sqrt {x^{2 b}}\right )\right )\right \}\right \}\]

Maple : cpu = 0.069 (sec), leaf count = 25

\[ \left \{ y \left ( x \right ) ={x}^{a} \left ( \sin \left ( {x}^{b}c \right ) {\it \_C1}+\cos \left ( {x}^{b}c \right ) {\it \_C2} \right ) \right \} \]