Internal problem ID [908]
Book: Elementary differential equations with boundary value problems. William F. Trench.
Brooks/Cole 2001
Section: Chapter 2, First order equations. Linear first order. Section 2.1 Page 41
Problem number: 22.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {\left (-2+x \right ) \left (x -1\right ) y^{\prime }-\left (4 x -3\right ) y=\left (-2+x \right )^{3}} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 27
dsolve((x-2)*(x-1)*diff(y(x),x) -(4*x-3)*y(x)=(x-2)^3,y(x), singsol=all)
\[ y \left (x \right ) = \frac {2 \left (-\frac {1}{2}+\left (-2+x \right )^{2} c_{1} \right ) \left (-2+x \right )^{3}}{2 x -2} \]
✓ Solution by Mathematica
Time used: 0.042 (sec). Leaf size: 30
DSolve[(x-2)*(x-1)*y'[x] -(4*x-3)*y[x]==(x-2)^3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {(x-2)^3 \left (-1+2 c_1 (x-2)^2\right )}{2 (x-1)} \]