Internal problem ID [204]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 5.3, second order linear equations. Page 323
Problem number: 21.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
Solve \begin {gather*} \boxed {y^{\prime \prime }-4 y^{\prime }+3 y=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = 7, y^{\prime }\relax (0) = 11] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 15
dsolve([diff(y(x),x$2)-4*diff(y(x),x)+3*y(x)=0,y(0) = 7, D(y)(0) = 11],y(x), singsol=all)
\[ y \relax (x ) = 2 \,{\mathrm e}^{3 x}+5 \,{\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 18
DSolve[{y''[x]-4*y'[x]+3*y[x]==0,{y[0]==7,y'[0]==11}},y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to e^x \left (2 e^{2 x}+5\right ) \\ \end{align*}