73.1.1 problem 2.2 (a)

Internal problem ID [14979]
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)
Date solved : Tuesday, January 28, 2025 at 07:26:09 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=3-\sin \left (x \right ) \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 11

dsolve(diff(y(x),x)=3-sin(x),y(x), singsol=all)
 

\[ y = \cos \left (x \right )+3 x +c_{1} \]

✓ Solution by Mathematica

Time used: 0.005 (sec). Leaf size: 22

DSolve[D[y[x],x]==3-Sin[x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \int _1^x(3-\sin (K[1]))dK[1]+c_1 \]