Internal problem ID [2075]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 12, page 46
Problem number: 45.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x -4 y=x^{4}} \] With initial conditions \begin {align*} [y \left (1\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 10
dsolve([x*diff(y(x),x)=x^4+4*y(x),y(1) = 0],y(x), singsol=all)
\[ y = \ln \left (x \right ) x^{4} \]
✓ Solution by Mathematica
Time used: 0.028 (sec). Leaf size: 11
DSolve[{x*y'[x]==x^4+4*y[x],{y[1]==0}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^4 \log (x) \]