7.1.4 problem 4

Internal problem ID [4]
Book : Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
Section : Chapter 1. First order differential equations. Section 1.2. Problems at page 17
Problem number : 4
Date solved : Friday, February 07, 2025 at 08:11:44 AM
CAS classification : [_quadrature]

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

With initial conditions

\begin{align*} y \left (1\right )&=5 \end{align*}

✓ Solution by Maple

Time used: 0.005 (sec). Leaf size: 11

dsolve([diff(y(x),x)=1/x^2,y(1) = 5],y(x), singsol=all)
 

\[ y = -\frac {1}{x}+6 \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 12

DSolve[{D[y[x],x]==1/x^2,{y[1]==5}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 6-\frac {1}{x} \]