Internal problem ID [3498]
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]
\[ \boxed {\left (1-2 x \right ) y^{\prime }+6 y=32 x +16} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve((1-2*x)*diff(y(x),x) = 16+32*x-6*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {4}{3}+8 x +\left (-1+2 x \right )^{3} c_{1} \]
✓ Solution by Mathematica
Time used: 0.037 (sec). Leaf size: 22
DSolve[(1-2 x)y'[x]==2(8+16 x-3 y[x]),y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 8 x+c_1 (2 x-1)^3+\frac {4}{3} \]