73.1.41 problem 2.7 e

Internal problem ID [15019]
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 : 2.7 e
Date solved : Tuesday, January 28, 2025 at 07:27:38 AM
CAS classification : [_quadrature]

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

With initial conditions

\begin{align*} y \left (0\right )&=4 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 8

dsolve([x*diff(y(x),x)=sin(x),y(0) = 4],y(x), singsol=all)
 

\[ y = \operatorname {Si}\left (x \right )+4 \]

✓ Solution by Mathematica

Time used: 0.009 (sec). Leaf size: 22

DSolve[{x*D[y[x],x]==Sin[x],{y[0]==4}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \int _0^x\frac {\sin (K[1])}{K[1]}dK[1]+4 \]