Internal problem ID [13343]
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).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime } x -y^{2}+y=0} \] With initial conditions \begin {align*} [y \left (2\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 5
dsolve([x*diff(y(x),x)=y(x)^2-y(x),y(2) = 1],y(x), singsol=all)
\[ y \left (x \right ) = 1 \]
✓ Solution by Mathematica
Time used: 0.001 (sec). Leaf size: 6
DSolve[{x*y'[x]==y[x]^2-y[x],{y[2]==1}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 1 \]