Internal problem ID [13488]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 13. Higher order equations: Extending first order concepts. Additional exercises
page 259
Problem number: 13.3 (a).
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x]]
\[ \boxed {y^{\prime \prime \prime }-y^{\prime \prime }=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 13
dsolve(diff(y(x),x$3)=diff(y(x),x$2),y(x), singsol=all)
\[ y \left (x \right ) = c_{1} +c_{2} x +c_{3} {\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 18
DSolve[y'''[x]==y''[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 e^x+c_3 x+c_2 \]