Internal problem ID [5288]
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 (a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x -y=x^{2} {\mathrm e}^{x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve((-y(x)-x^2*exp(x))+x*diff(y(x),x)=0,y(x), singsol=all)
\[ y = \left ({\mathrm e}^{x}+c_{1} \right ) x \]
✓ Solution by Mathematica
Time used: 0.044 (sec). Leaf size: 13
DSolve[(-y[x]-x^2*Exp[x])+x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x \left (e^x+c_1\right ) \]