60.1.8 problem 8

Internal problem ID [10022]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 8
Date solved : Monday, January 27, 2025 at 06:18:34 PM
CAS classification : [_linear]

\begin{align*} y^{\prime }+y \tan \left (x \right )-\sin \left (2 x \right )&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 13

dsolve(diff(y(x),x) + y(x)*tan(x) - sin(2*x)=0,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.043 (sec). Leaf size: 23

DSolve[D[y[x],x]+ y[x]*Tan[x] - Sin[2*x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \cos (x) \left (\int _1^x2 \sin (K[1])dK[1]+c_1\right ) \]