Internal problem ID [15459]
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: 715.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+\alpha ^{2} y=1} \] With initial conditions \begin {align*} [y^{\prime }\left (0\right ) = \alpha , y^{\prime }\left (\pi \right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 21
dsolve([diff(y(x),x$2)+alpha^2*y(x)=1,D(y)(0) = alpha, D(y)(Pi) = 0],y(x), singsol=all)
\[ y \left (x \right ) = \sin \left (\alpha x \right )+\cos \left (\alpha x \right ) \cot \left (\alpha \pi \right )+\frac {1}{\alpha ^{2}} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{y''[x]+\[Alpha]^2*y'[x]==1,{y'[0]==\[Alpha],y'[Pi]==0}},y[x],x,IncludeSingularSolutions -> True]
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