84.14.2 problem 7.10

Internal problem ID [22159]
Book : Schaums outline series. Differential Equations By Richard Bronson. 1973. McGraw-Hill Inc. ISBN 0-07-008009-7
Section : Chapter 7. Integrating factors. Supplementary problems
Problem number : 7.10
Date solved : Thursday, October 02, 2025 at 08:32:59 PM
CAS classification : [_separable]

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

✓ Maple. Time used: 0.000 (sec). Leaf size: 9

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

\[ y = c_1 \left (-1+x \right ) \]

✓ Mathematica. Time used: 0.015 (sec). Leaf size: 16

ode=y[x]+(1-x)*D[y[x],x]==0; 
ic={}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 

\begin{align*} y(x)&\to c_1 (x-1)\\ y(x)&\to 0 \end{align*}

✓ Sympy. Time used: 0.122 (sec). Leaf size: 7

from sympy import * 
x = symbols("x") 
y = Function("y") 
ode = Eq((1 - x)*Derivative(y(x), x) + y(x),0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

\[ y{\left (x \right )} = C_{1} \left (x - 1\right ) \]