Internal problem ID [5464]
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 1.7. Homogeneous Equations. Page
28
Problem number: 4(e).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {2 x +3 y-1-4 \left (1+x \right ) y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 16
dsolve((2*x+3*y(x)-1)-4*(x+1)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = \left (x +1\right )^{\frac {3}{4}} c_{1}+2 x +3 \]
✓ Solution by Mathematica
Time used: 0.067 (sec). Leaf size: 20
DSolve[(2*x+3*y[x]-1)-4*(x+1)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 2 x+c_1 (x+1)^{3/4}+3 \\ \end{align*}