73.8.41 problem 13.6 (g)

Internal problem ID [15249]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 13. Higher order equations: Extending first order concepts. Additional exercises page 259
Problem number : 13.6 (g)
Date solved : Tuesday, January 28, 2025 at 07:50:52 AM
CAS classification : [[_2nd_order, _missing_y]]

\begin{align*} x y^{\prime \prime }+2 y^{\prime }&=6 \end{align*}

With initial conditions

\begin{align*} y \left (1\right )&=4\\ y^{\prime }\left (1\right )&=5 \end{align*}

✓ Solution by Maple

Time used: 0.014 (sec). Leaf size: 14

dsolve([x*diff(y(x),x$2)+2*diff(y(x),x)=6,y(1) = 4, D(y)(1) = 5],y(x), singsol=all)
 

\[ y = -\frac {2}{x}+3 x +3 \]

✓ Solution by Mathematica

Time used: 0.011 (sec). Leaf size: 15

DSolve[{x*D[y[x],{x,2}]+2*D[y[x],x]==6,{y[1]==4,Derivative[1][y][1]==5}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 3 x-\frac {2}{x}+3 \]