Internal problem ID [12760]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 4. N-th Order Linear Differential Equations. Exercises 4.3, page 210
Problem number: 1.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {4 y^{\prime \prime }+4 y^{\prime }-3 y=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 17
dsolve(4*diff(y(x),x$2)+4*diff(y(x),x)-3*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \left ({\mathrm e}^{2 x} c_{1} +c_{2} \right ) {\mathrm e}^{-\frac {3 x}{2}} \]
✓ Solution by Mathematica
Time used: 0.023 (sec). Leaf size: 24
DSolve[4*y''[x]+4*y'[x]-3*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{-3 x/2} \left (c_2 e^{2 x}+c_1\right ) \]