Internal problem ID [1997]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x -5 y=x +1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(x*diff(y(x),x)=5*y(x)+x+1,y(x), singsol=all)
\[ y \left (x \right ) = -\frac {1}{5}-\frac {1}{4} x +c_{1} x^{5} \]
✓ Solution by Mathematica
Time used: 0.027 (sec). Leaf size: 20
DSolve[x*y'[x]==5*y[x]+x+1,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 x^5-\frac {x}{4}-\frac {1}{5} \]