Internal problem ID [2273]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 35, page 157
Problem number: 1.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _quadrature]]
\[ \boxed {y^{\prime \prime }=\cos \left (t \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(diff(y(t),t$2)=cos(t),y(t), singsol=all)
\[ y \left (t \right ) = -\cos \left (t \right )+c_{1} t +c_{2} \]
✓ Solution by Mathematica
Time used: 0.012 (sec). Leaf size: 16
DSolve[y''[t]==Cos[t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -\cos (t)+c_2 t+c_1 \]