38.1.1 problem 1

Internal problem ID [6418]
Book : Engineering Mathematics. By K. A. Stroud. 5th edition. Industrial press Inc. NY. 2001
Section : Program 24. First order differential equations. Test excercise 24. page 1067
Problem number : 1
Date solved : Monday, January 27, 2025 at 02:01:06 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 18

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

\[ y = \frac {x^{2}}{2}+2 x -3 \ln \left (x \right )+c_1 \]

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 22

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

\[ y(x)\to \frac {x^2}{2}+2 x-3 \log (x)+c_1 \]