Internal problem ID [5290]
Book: Schaums Outline. Theory and problems of Differential Equations, 1st edition. Frank Ayres.
McGraw Hill 1952
Section: Chapter 5. Equations of first order and first degree (Exact equations). Supplemetary
problems. Page 33
Problem number: 26 (c).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x +2 y=x^{3}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve((2*y(x)-x^3)+x*diff(y(x),x)=0,y(x), singsol=all)
\[ y = \frac {\frac {x^{5}}{5}+c_{1}}{x^{2}} \]
✓ Solution by Mathematica
Time used: 0.028 (sec). Leaf size: 19
DSolve[(2*y[x]-x^3)+x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^3}{5}+\frac {c_1}{x^2} \]