82.24.3 problem Ex. 3

Internal problem ID [18869]
Book : Introductory Course On Differential Equations by Daniel A Murray. Longmans Green and Co. NY. 1924
Section : Chapter VI. Linear equations with constant coefficients. problems at page 65
Problem number : Ex. 3
Date solved : Tuesday, January 28, 2025 at 12:33:07 PM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} 2 y^{\prime \prime }+5 y^{\prime }-12 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 17

dsolve(2*diff(y(x),x$2)+5*diff(y(x),x)-12*y(x)=0,y(x), singsol=all)
 

\[ y \left (x \right ) = \left (c_{2} {\mathrm e}^{\frac {11 x}{2}}+c_{1} \right ) {\mathrm e}^{-4 x} \]

✓ Solution by Mathematica

Time used: 0.021 (sec). Leaf size: 35

DSolve[D[y[x],{x,2}]+5*D[y[x],x]-12*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^{-\frac {1}{2} \left (5+\sqrt {73}\right ) x} \left (c_2 e^{\sqrt {73} x}+c_1\right ) \]