Q2) Classify the following differential equations by selecting the classification given that best describes the equation.
a) dy/dx - y = 2y^3 + 4 Exact with integrating factor μ(x) First order, linear, constant coefficients
b) x^2 dy/dx + cos x = y Bernoulli equation Separable
c) 3 dx/dt - 2x = 1 First order, homogeneous
d) (2xy^2 + 3x^2)dx + (2x^2 y + 4y^3)dy = 0 Exact First order, linear
e) (2y^2 + 2y + 4x^2)dx + (2xy + x)dy = 0
f) (y^2 - xy)dx + x^2 dy = 0
g) dy/dx + y/(x - 2) = 5(x - 2)y^(1/2)