Internal problem ID [2055]
Book: Differential equations and linear algebra, Stephen W. Goode, second edition, 2000
Section: 1.6, page 50
Problem number: 6.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {2 \cos \left (x \right )^{2} y^{\prime }+y \sin \left (2 x \right )-4 \cos \left (x \right )^{4}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(2*cos(x)^2*diff(y(x),x)+y(x)*sin(2*x)=4*cos(x)^4,y(x), singsol=all)
\[ y \left (x \right ) = \left (2 \sin \left (x \right )+c_{1} \right ) \cos \left (x \right ) \]
✓ Solution by Mathematica
Time used: 0.054 (sec). Leaf size: 15
DSolve[2*Cos[x]^2*y'[x]+y[x]*Sin[2*x]==4*Cos[x]^4,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \cos (x) (2 \sin (x)+c_1) \\ \end{align*}