75.22.9 problem 714

Internal problem ID [17188]
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 ODEs). Section 17. Boundary value problems. Exercises page 163
Problem number : 714
Date solved : Tuesday, January 28, 2025 at 09:56:37 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }+\alpha y^{\prime }&=0 \end{align*}

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: 0.009 (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)
 

\[ y = {\mathrm e}^{\alpha } \]

✓ Solution by Mathematica

Time used: 0.019 (sec). Leaf size: 8

DSolve[{D[y[x],{x,2}]+\[Alpha]*D[y[x],x]==0,{y[0]==Exp[\[Alpha]],Derivative[1][y][1]==0}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^{\alpha } \]