7.8.17 problem 17

Internal problem ID [231]
Book : Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
Section : Chapter 2. Linear Equations of Higher Order. Section 2.1 (Introduction. Second order linear equations). Problems at page 111
Problem number : 17
Date solved : Monday, January 27, 2025 at 02:42:48 AM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 9

dsolve(diff(y(x),x)+y(x)^2=0,y(x), singsol=all)
 

\[ y = \frac {1}{x +c_1} \]

✓ Solution by Mathematica

Time used: 0.095 (sec). Leaf size: 18

DSolve[D[y[x],x]+y[x]^2 == 0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to \frac {1}{x-c_1} \\ y(x)\to 0 \\ \end{align*}