35.6.1 problem 1

Internal problem ID [6151]
Book : Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley. 2006
Section : Chapter 8, Ordinary differential equations. Section 6. SECOND-ORDER LINEAR EQUATIONSWITH CONSTANT COEFFICIENTS AND RIGHT-HAND SIDE NOT ZERO. page 422
Problem number : 1
Date solved : Monday, January 27, 2025 at 01:38:28 PM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }-4 y^{\prime }&=10 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 16

dsolve(diff(y(x),x$2)-4*diff(y(x),x)=10,y(x), singsol=all)
 

\[ y = \frac {{\mathrm e}^{4 x} c_1}{4}-\frac {5 x}{2}+c_2 \]

✓ Solution by Mathematica

Time used: 0.014 (sec). Leaf size: 24

DSolve[D[y[x],{x,2}]-4*D[y[x],x]==10,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -\frac {5 x}{2}+\frac {1}{4} c_1 e^{4 x}+c_2 \]