40.3.17 problem 25 (b)

Internal problem ID [6621]
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)
Date solved : Monday, January 27, 2025 at 02:16:13 PM
CAS classification : [_linear]

\begin{align*} 2 y-3 x +x y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.000 (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: 0.029 (sec). Leaf size: 13

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

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