Internal problem ID [13505]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 25. Review exercises for part III. page 447
Problem number: 27.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {2 y^{\prime \prime }-7 y^{\prime }=-3} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(2*diff(y(x),x$2)-7*diff(y(x),x)+3=0,y(x), singsol=all)
\[ y = \frac {2 c_{1} {\mathrm e}^{\frac {7 x}{2}}}{7}+\frac {3 x}{7}+c_{2} \]
✓ Solution by Mathematica
Time used: 0.022 (sec). Leaf size: 26
DSolve[2*y''[x]-7*y'[x]+3==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {3 x}{7}+\frac {2}{7} c_1 e^{7 x/2}+c_2 \]