Question

2.2 3, 5, 7 Boyce seperable diff eq

Answer 1

3. y'+y^2 sin x=0

Answer 2

y^-2 y'=-sin x
\(\int y^{-2}dy=\int-\sin x dx\)
\(-y^{-1}=\cos x+C\)
\(y=1/(-\cos x+C)\)

Answer 3

5. y' = cos^2 x cos^2 (2y)

Answer 4

\(3 y'+y^2 sin x=0\)
\(\color{red}{3}y^{-2} y'=-sin x\)