Internal problem ID [13188]
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 (b).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {x y^{\prime \prime }-2 y^{\prime }=0} \] With initial conditions \begin {align*} [y \left (-1\right ) = 4, y^{\prime }\left (-1\right ) = 12] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve([x*diff(y(x),x$2)=2*diff(y(x),x),y(-1) = 4, D(y)(-1) = 12],y(x), singsol=all)
\[ y \left (x \right ) = 4 x^{3}+8 \]
✓ Solution by Mathematica
Time used: 0.011 (sec). Leaf size: 12
DSolve[{x*y''[x]==2*y'[x],{y[-1]==4,y'[-1]==12}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 4 \left (x^3+2\right ) \]