Internal problem ID [5921]
Book: An introduction to Ordinary Differential Equations. Earl A. Coddington. Dover. NY
1961
Section: Chapter 1.3 Introduction– Linear equations of First Order. Page 38
Problem number: 4(a).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _quadrature]]
\[ \boxed {y^{\prime \prime }=3 x +1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve(diff(y(x),x$2)=3*x+1,y(x), singsol=all)
\[ y \left (x \right ) = \frac {1}{2} x^{3}+\frac {1}{2} x^{2}+c_{1} x +c_{2} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 25
DSolve[y''[x]==3*x+1,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{2} \left (x^3+x^2+2 c_2 x+2 c_1\right ) \]