7.7.7 problem 7

Internal problem ID [185]
Book : Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
Section : Chapter 1. First order differential equations. Review problems at page 98
Problem number : 7
Date solved : Friday, February 07, 2025 at 08:01:52 AM
CAS classification : [_linear]

\begin{align*} 2 y x^{2}+y^{\prime } x^{3}&=1 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 12

dsolve(2*x^2*y(x)+x^3*diff(y(x),x)=1,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.029 (sec). Leaf size: 14

DSolve[2*x^2*y[x]+x^3*D[y[x],x]==1,y[x],x,IncludeSingularSolutions -> True]
 

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