1.4 problem 18

Internal problem ID [12577]

Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 1. Introduction. Exercises page 14
Problem number: 18.
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [[_2nd_order, _missing_x]]

\[ \boxed {y^{\prime \prime }-3 y^{\prime }+2 y=0} \]

✓ Solution by Maple

Time used: 0.016 (sec). Leaf size: 15

dsolve(diff(y(x),x$2)-3*diff(y(x),x)+2*y(x)=0,y(x), singsol=all)
 

\[ y \left (x \right ) = c_{1} {\mathrm e}^{x}+c_{2} {\mathrm e}^{2 x} \]

✓ Solution by Mathematica

Time used: 0.02 (sec). Leaf size: 18

DSolve[y''[x]-3*y'[x]+2*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

\[ y(x)\to e^x \left (c_2 e^x+c_1\right ) \]