Internal problem ID [6438]
Book: Own collection of miscellaneous problems
Section: section 3.0
Problem number: 1.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
Solve \begin {gather*} \boxed {y^{\prime \prime }+c y^{\prime }+k y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 45
dsolve(diff(y(x),x$2)+c*diff(y(x),x)+k*y(x)=0,y(x), singsol=all)
\[ y \relax (x ) = c_{1} {\mathrm e}^{\left (-\frac {c}{2}+\frac {\sqrt {c^{2}-4 k}}{2}\right ) x}+c_{2} {\mathrm e}^{\left (-\frac {c}{2}-\frac {\sqrt {c^{2}-4 k}}{2}\right ) x} \]
✓ Solution by Mathematica
Time used: 9.862 (sec). Leaf size: 2542
DSolve[y'''[x]-x^3*y'[x]-x^2*y[x]-x^3==0,y[x],x,IncludeSingularSolutions -> True]
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