In: Advanced Math
solve the given DE or IVP (Initial-Value Problem).
a. 2y′ + y cot x = 8y-1 cos3 x
b. y′ = sin2 (3x − 3y + 1)
c. xy′ + y ln x = y ln y
d. x2 dy/dx = y2 + 5xy + 4x2