24.1.18 problem 4(c)

Internal problem ID [4207]
Book : Elementary Differential equations, Chaundy, 1969
Section : Exercises 3, page 60
Problem number : 4(c)
Date solved : Monday, January 27, 2025 at 08:42:14 AM
CAS classification : [_linear]

\begin{align*} y^{\prime }+y \sin \left (x \right )&=\sin \left (2 x \right ) \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 15

dsolve(diff(y(x),x)+y(x)*sin(x)=sin(2*x),y(x), singsol=all)
 

\[ y \left (x \right ) = 2 \cos \left (x \right )+2+{\mathrm e}^{\cos \left (x \right )} c_{1} \]

✓ Solution by Mathematica

Time used: 0.067 (sec). Leaf size: 18

DSolve[D[y[x],x]+y[x]*Sin[x]==Sin[2*x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 2 \cos (x)+c_1 e^{\cos (x)}+2 \]