3.17 problem 25 (b)

Internal problem ID [5278]

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: 25 (b).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_linear]

\[ \boxed {y^{\prime } x +2 y=3 x} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 11

dsolve((2*y(x)-3*x)+x*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y = x +\frac {c_{1}}{x^{2}} \]

Solution by Mathematica

Time used: 0.026 (sec). Leaf size: 13

DSolve[(2*y[x]-3*x)+x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x+\frac {c_1}{x^2} \]