Internal problem ID [10816]
Book: Differential equations and the calculus of variations by L. ElSGOLTS. MIR PUBLISHERS,
MOSCOW, Third printing 1977.
Section: Chapter 2, DIFFERENTIAL EQUATIONS OF THE SECOND ORDER AND HIGHER.
Problems page 172
Problem number: Problem 1.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-6 y^{\prime }+10 y-100=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 10, y^{\prime }\left (0\right ) = 5] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve([diff(y(x),x$2)-6*diff(y(x),x)+10*y(x)=100,y(0) = 10, D(y)(0) = 5],y(x), singsol=all)
\[ y \left (x \right ) = 10+5 \,{\mathrm e}^{3 x} \sin \left (x \right ) \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 17
DSolve[{y''[x]-6*y'[x]+10*y[x]==100,{y[0]==10,y'[0]==5}},y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 5 \left (e^{3 x} \sin (x)+2\right ) \\ \end{align*}