73.3.45 problem 4.8 (d)

Internal problem ID [15079]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 4. SEPARABLE FIRST ORDER EQUATIONS. Additional exercises. page 90
Problem number : 4.8 (d)
Date solved : Tuesday, January 28, 2025 at 07:29:56 AM
CAS classification : [_separable]

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

With initial conditions

\begin{align*} y \left (2\right )&=1 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 5

dsolve([x*diff(y(x),x)=y(x)^2-y(x),y(2) = 1],y(x), singsol=all)
 

\[ y = 1 \]

✓ Solution by Mathematica

Time used: 0.001 (sec). Leaf size: 6

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

\[ y(x)\to 1 \]