Classify these into the following first order categories If

Classify these into the following first order categories. If an equation belongs to several different categories, put it into at least once category. (do not solve them)

Separable equation

First Order Linear equation

Exact equation

None of the above

(a) y\'=y²e^x

(b) y\'=1+2x+y+2xy

(c) y\'+2y=4x²-2

(d) cosxdy=(ysinx+e^x+2)dx

(g) y\'=x²+y²

(h) 2x+y²+2xyy\'=0

Solution

a). separable equation

b).First Order Linear equation as it can be written be in the form y\'+p(x)y=Q(x).

c).First Order Linear equation as it can be written be in the form y\'+p(x)y=Q(x).

d).Exact equation

e).First Order Linear equation as it can be written be in the form y\'+p(x)y=Q(x).

f).None of the above

g).None of the above

h).None of the above