Internal problem ID [13263]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 2. Integration and differential equations. Additional exercises. page
32
Problem number: 2.3 (k).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _quadrature]]
\[ \boxed {y^{\prime \prime }=x +3} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve(diff(y(x),x$2)-3=x,y(x), singsol=all)
\[ y \left (x \right ) = \frac {1}{6} x^{3}+\frac {3}{2} x^{2}+c_{1} x +c_{2} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 26
DSolve[y''[x]-3==x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^3}{6}+\frac {3 x^2}{2}+c_2 x+c_1 \]