8.1.4 problem 4

Internal problem ID [654]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Section 1.2. Integrals as general and particular solutions. Page 16
Problem number : 4
Date solved : Monday, January 27, 2025 at 02:56:44 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: 0.007 (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: 0.003 (sec). Leaf size: 12

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

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