10.5.1 problem 1

Internal problem ID [1193]
Book : Elementary differential equations and boundary value problems, 10th ed., Boyce and DiPrima
Section : Section 2.6. Page 100
Problem number : 1
Date solved : Monday, January 27, 2025 at 04:43:39 AM
CAS classification : [_separable]

\begin{align*} 3+2 x +\left (-2+2 y\right ) y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 43

dsolve(3+2*x+(-2+2*y(x))*diff(y(x),x) = 0,y(x), singsol=all)
 

\begin{align*} y &= 1-\sqrt {-x^{2}-c_1 -3 x +1} \\ y &= 1+\sqrt {-x^{2}-c_1 -3 x +1} \\ \end{align*}

✓ Solution by Mathematica

Time used: 0.120 (sec). Leaf size: 51

DSolve[3+2*x+(-2+2*y[x])*D[y[x],x] == 0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to 1-\sqrt {-x^2-3 x+1+2 c_1} \\ y(x)\to 1+\sqrt {-x^2-3 x+1+2 c_1} \\ \end{align*}