Internal problem ID [7191]
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]]
\[ \boxed {y^{\prime \prime }+y^{\prime } c +k y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 41
dsolve(diff(y(x),x$2)+c*diff(y(x),x)+k*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} {\mathrm e}^{\frac {\left (-c +\sqrt {c^{2}-4 k}\right ) x}{2}}+c_{2} {\mathrm e}^{-\frac {\left (c +\sqrt {c^{2}-4 k}\right ) x}{2}} \]
✓ Solution by Mathematica
Time used: 8.987 (sec). Leaf size: 2548
DSolve[y'''[x]-x^3*y'[x]-x^2*y[x]-x^3==0,y[x],x,IncludeSingularSolutions -> True]
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