ODE No. 173

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

\[ x^6 \left (-y(x)^2\right )+x^3 y'(x)-(2 x-3) x^2 y(x)+3=0 \] Mathematica : cpu = 0.0164299 (sec), leaf count = 29

\[\left \{\left \{y(x)\to \frac {1}{x^3 \left (c_1 e^{4 x}+\frac {1}{4}\right )}-\frac {3}{x^3}\right \}\right \}\] Maple : cpu = 0.052 (sec), leaf count = 27

\[ \left \{ y \left ( x \right ) ={\frac {-3\, \left ( {{\rm e}^{x}} \right ) ^{4}{\it \_C1}-3}{{x}^{3} \left ( \left ( {{\rm e}^{x}} \right ) ^{4}{\it \_C1}-3 \right ) }} \right \} \]