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For each equation below, do the following: - Classify the differential equation by stating its order...

For each equation below, do the following:

- Classify the differential equation by stating its order and whether it is linear or non-linear. For linear equations, also state whether they are homogeneous or non-homogeneous.

- Find the general solution to the equation. Give explicit solutions only. (So all solutions should be solved for the dependent variable y.)

a. y′ = xy2 + xy.

b. y′ + y = cos x

c. y′′′ = 2ex + 3 cos x

d. dy/dx − (sec2 x)y = 0

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