Internal problem ID [2186]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 20, page 90
Problem number: 13.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_y]]
\[ \boxed {y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime }={\mathrm e}^{2 x}} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 22
dsolve(diff(y(x),x$3)-2*diff(y(x),x$2)+diff(y(x),x)=exp(2*x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {{\mathrm e}^{2 x}}{2}+\left (c_{1} \left (x -1\right )+c_{2} \right ) {\mathrm e}^{x}+c_{3} \]
✓ Solution by Mathematica
Time used: 0.055 (sec). Leaf size: 30
DSolve[y'''[x]-2*y''[x]+y'[x]==Exp[2*x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {e^{2 x}}{2}+e^x (c_2 (x-1)+c_1)+c_3 \]