guys need help on ODE questions,

Question

i just need you guys to tell me what method to use for the following equations and i will try solve them myself:

a) (2y+tany)dx +(x-x^2(tany))dy=0
b) y'=(e^x)(2y+(e^x))+y(1+y)
c) y'=1+y^2-x^2

any hints will be good also. XD

Answer 1

And i am solving to get its general solution, so just tell me what method to use as in like homogenous, exact, integrating factor, bernouli, etc...

Thanks

Answer 2

google is your friend:

(a) https://answers.yahoo.com/question/index?qid=20131112055820AAxrUAf

(b),(c) Check out Riccati equations

y' = y^2 + q(x)y + p(x)