15.6.11 problem 11

Internal problem ID [2968]
Book : Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath. Boston. 1964
Section : Exercise 10, page 41
Problem number : 11
Date solved : Monday, January 27, 2025 at 07:04:49 AM
CAS classification : [_linear]

\begin{align*} x y^{\prime }&=5 y+x +1 \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 14

dsolve(x*diff(y(x),x)=5*y(x)+x+1,y(x), singsol=all)
 

\[ y = -\frac {1}{4} x -\frac {1}{5}+c_{1} x^{5} \]

✓ Solution by Mathematica

Time used: 0.031 (sec). Leaf size: 20

DSolve[x*D[y[x],x]==5*y[x]+x+1,y[x],x,IncludeSingularSolutions -> True]
 

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