50.4.4 problem 4

Internal problem ID [7853]
Book : Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section : Chapter 1. What is a differential equation. Section 1.5. Exact Equations. Page 20
Problem number : 4
Date solved : Monday, January 27, 2025 at 03:26:31 PM
CAS classification : [_rational, [_Abel, `2nd type`, `class B`]]

\begin{align*} 2 y^{2}-4 x +5&=\left (4-2 y+4 y x \right ) y^{\prime } \end{align*}

✗ Solution by Maple

dsolve((2*y(x)^2-4*x+5)=(4-2*y(x)+4*x*y(x))*diff(y(x),x),y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[(2*y[x]^2-4*x+5)==(4-2*y[x]+4*x*y[x])*D[y[x],x],y[x],x,IncludeSingularSolutions -> True]
 

Not solved