# integrating factors, substitutions for homogeous and Bernoulli

What technique would be used to solve the differential equation:

You do not have to solve the differential equations, just write what technique that you would use to solve them.

Solution techniques: Equilibrium solutions, Separation of variables, exact equations, integrating factors, substitutions for homogeous and Bernoulli

a) dy/dx = (x^3 - 2y) / x

b) dy/dx = (1+cosx) / (2-siny)

c) dy/dx = -(2xy + y^2 +1) / (x^2 + 2xy)

d) dy/dx = 1+ 2x + y^2 + 2xy^2

e) dy/dx + (2y^2 + 6xy - 4)/(3x^2 + 4xy +3y^2) = 0

f) t dy/dt + (t + 1)y = e^2t

g) xy' = y + xe^(y/x)

Just write what technique would be used to solve the differential equation for each of them please, dont solve them.

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#### Solution Summary

Integrating factors, substitutions for homogeneous and Bernoulli are examined. Separation of variables and exact equations are given.