Internal problem ID [12749]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 4. N-th Order Linear Differential Equations. Exercises 4.1, page 186
Problem number: 6.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _linear, _nonhomogeneous]]
\[ \boxed {\left (x^{2}-4\right ) y^{\prime \prime }+y \ln \left (x \right )=x \,{\mathrm e}^{x}} \] With initial conditions \begin {align*} [y \left (1\right ) = 1, y^{\prime }\left (1\right ) = 2] \end {align*}
✗ Solution by Maple
dsolve([(x^2-4)*diff(y(x),x$2)+ln(x)*y(x)=x*exp(x),y(1) = 1, D(y)(1) = 2],y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{(x^2-4)*y''[x]+Log[x]*y[x]==x*Exp[x],{y[1]==1,y'[1]==2}},y[x],x,IncludeSingularSolutions -> True]
Not solved