29.12.13 problem 332

Internal problem ID [4932]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 12
Problem number : 332
Date solved : Monday, January 27, 2025 at 09:52:34 AM
CAS classification : [_linear]

\begin{align*} x \left (1-2 x \right ) y^{\prime }+1+\left (1-4 x \right ) y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 18

dsolve(x*(1-2*x)*diff(y(x),x)+1+(1-4*x)*y(x) = 0,y(x), singsol=all)
 

\[ y \left (x \right ) = \frac {x +c_{1}}{x \left (2 x -1\right )} \]

✓ Solution by Mathematica

Time used: 0.040 (sec). Leaf size: 22

DSolve[x(1-2 x)D[y[x],x]+1+(1-4 x)y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -\frac {x-c_1}{x-2 x^2} \]