Internal problem ID [15458]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Chapter 2 (Higher order ODE’s). Section 17. Boundary value problems. Exercises page
163
Problem number: 714.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+\alpha y^{\prime }=0} \] With initial conditions \begin {align*} [y \left (0\right ) = {\mathrm e}^{\alpha }, y^{\prime }\left (1\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 6
dsolve([diff(y(x),x$2)+alpha*diff(y(x),x)=0,y(0) = exp(alpha), D(y)(1) = 0],y(x), singsol=all)
\[ y \left (x \right ) = {\mathrm e}^{\alpha } \]
✓ Solution by Mathematica
Time used: 0.019 (sec). Leaf size: 8
DSolve[{y''[x]+\[Alpha]*y'[x]==0,{y[0]==Exp[\[Alpha]],y'[1]==0}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{\alpha } \]