Internal problem ID [13513]
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).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {x y^{\prime \prime }+2 y^{\prime }=6} \] With initial conditions \begin {align*} [y \left (1\right ) = 4, y^{\prime }\left (1\right ) = 5] \end {align*}
✓ Solution by Maple
Time used: 0.016 (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)
\[ y \left (x \right ) = -\frac {2}{x}+3 x +3 \]
✓ Solution by Mathematica
Time used: 0.011 (sec). Leaf size: 15
DSolve[{x*y''[x]+2*y'[x]==6,{y[1]==4,y'[1]==5}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 3 x-\frac {2}{x}+3 \]