Internal problem ID [1994]
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: 8.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x -2 y=2 x^{4}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(x*diff(y(x),x)-2*(x^4+y(x))=0,y(x), singsol=all)
\[ y = \left (x^{2}+c_{1} \right ) x^{2} \]
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 15
DSolve[x*y'[x]-2*(x^4+y[x])==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^2 \left (x^2+c_1\right ) \]