Internal problem ID [3047]
Book: Elementary Differential equations, Chaundy, 1969
Section: Exercises 3, page 60
Problem number: 4(d).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {\sin \left (x \right ) y^{\prime }+y=\sin \left (2 x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(sin(x)*diff(y(x),x)+y(x)=sin(2*x),y(x), singsol=all)
\[ y \left (x \right ) = \left (-2 \cos \left (x \right )+2 \ln \left (\cos \left (x \right )+1\right )+c_{1} \right ) \left (\csc \left (x \right )+\cot \left (x \right )\right ) \]
✓ Solution by Mathematica
Time used: 0.288 (sec). Leaf size: 38
DSolve[Sin[x]*y'[x]+y[x]==Sin[2*x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{\text {arctanh}(\cos (x))} \left (-2 \sqrt {\sin ^2(x)} \csc (x) \left (\cos (x)+\log \left (\sec ^2\left (\frac {x}{2}\right )\right )\right )+c_1\right ) \]