Internal problem ID [163]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 5.1, second order linear equations. Page 299
Problem number: 7.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+y^{\prime }=0} \] With initial conditions \begin {align*} [y \left (0\right ) = -2, y^{\prime }\left (0\right ) = 8] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 12
dsolve([diff(y(x),x$2)+diff(y(x),x)=0,y(0) = -2, D(y)(0) = 8],y(x), singsol=all)
\[ y \left (x \right ) = 6-8 \,{\mathrm e}^{-x} \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 14
DSolve[{y''[x]+y'[x]==0,{y[0]==-2,y'[0]==8}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 6-8 e^{-x} \]