83.44.1 problem Ex 1 page 30

Internal problem ID [19529]
Book : A Text book for differentional equations for postgraduate students by Ray and Chaturvedi. First edition, 1958. BHASKAR press. INDIA
Section : Book Solved Excercises. Chapter III. Ordinary linear differential equations with constant coefficients
Problem number : Ex 1 page 30
Date solved : Tuesday, January 28, 2025 at 01:49:54 PM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} 2 y^{\prime \prime }+9 y^{\prime }-18 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 17

dsolve(2*diff(y(x),x$2)+9*diff(y(x),x)-18*y(x)=0,y(x), singsol=all)
 

\[ y \left (x \right ) = \left (c_{2} {\mathrm e}^{\frac {15 x}{2}}+c_{1} \right ) {\mathrm e}^{-6 x} \]

✓ Solution by Mathematica

Time used: 0.014 (sec). Leaf size: 24

DSolve[2*D[y[x],{x,2}]+9*D[y[x],x]-18*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 e^{3 x/2}+c_2 e^{-6 x} \]