Linear differential equations (Review), equation reducible to linear form,Bernoulli‘sequation

Sure, I can help with that. Here's a brief overview:

1. Linear Differential Equations: These are differential equations that are defined by linear polynomial equations. The general form of a first order linear differential equation is: dy/dx + P(x)y = Q(x). To solve this, we use an integrating factor.

2. Equation Reducible to Linear Form: Some differential equations can be transformed into a linear differential equation through a change of variable or some other method. For example, the equation (dy/dx) = y/x can be transformed into a linear form by substituting y = vx.

3. Bernoulli's Equation: This is a special type of differential equation that has the form: dy/dx + P(x)y = Q(x)y^n. To solve Bernoulli's equation, we usually make a substitution like v = y^(1-n) which transforms the equation into a linear differential equation.

Each of these topics involves a good deal of practice to fully understand. I would recommend working through several examples of each type of problem to get a feel for how to solve them.