Internal problem ID [13243]
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: 2.2 (a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=3-\sin \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve(diff(y(x),x)=3-sin(x),y(x), singsol=all)
\[ y \left (x \right ) = \cos \left (x \right )+3 x +c_{1} \]
✓ Solution by Mathematica
Time used: 0.018 (sec). Leaf size: 13
DSolve[y'[x]==3-Sin[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 3 x+\cos (x)+c_1 \]