9.2 problem 242

Internal problem ID [2990]

Book: Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section: Various 9
Problem number: 242.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_linear]

Solve \begin {gather*} \boxed {\left (1-2 x \right ) y^{\prime }-16-32 x +6 y=0} \end {gather*}

Solution by Maple

Time used: 0.015 (sec). Leaf size: 18

dsolve((1-2*x)*diff(y(x),x) = 16+32*x-6*y(x),y(x), singsol=all)
 

\[ y \relax (x ) = 8 x +\frac {4}{3}+\left (2 x -1\right )^{3} c_{1} \]

Solution by Mathematica

Time used: 0.036 (sec). Leaf size: 22

DSolve[(1-2 x)y'[x]==2(8+16 x-3 y[x]),y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to 8 x+c_1 (2 x-1)^3+\frac {4}{3} \\ \end{align*}