40.2.4 problem 27

Internal problem ID [6582]
Book : Schaums Outline. Theory and problems of Differential Equations, 1st edition. Frank Ayres. McGraw Hill 1952
Section : Chapter 4. Equations of first order and first degree (Variable separable). Supplemetary problems. Page 22
Problem number : 27
Date solved : Monday, January 27, 2025 at 02:14:09 PM
CAS classification : [_separable]

\begin{align*} 1+y-\left (1+x \right ) y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 10

dsolve((1+y(x))-(1+x)*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y = c_1 x +c_1 -1 \]

✓ Solution by Mathematica

Time used: 0.034 (sec). Leaf size: 18

DSolve[(1+y[x])-(1+x)*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

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