Internal problem ID [1162]
Book: Elementary differential equations with boundary value problems. William F. Trench.
Brooks/Cole 2001
Section: Chapter 5 linear second order equations. Section 5.7 Variation of Parameters. Page
262
Problem number: 8.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _linear, _nonhomogeneous]]
Solve \begin {gather*} \boxed {x^{2} y^{\prime \prime }+\left (2-2 x \right ) y^{\prime }+\left (-2+x \right ) y-{\mathrm e}^{2 x}=0} \end {gather*}
✗ Solution by Maple
dsolve(x^2*diff(y(x),x$2)+(2-2*x)*diff(y(x),x)+(x-2)*y(x)=exp(2*x),y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[x^2*y''[x]+(2-2*x)*y'[x]+(x-2)*y[x]==exp(2*x),y[x],x,IncludeSingularSolutions -> True]
Not solved