f(x) = k (constant types)

There are times when the standard particular integral for f(x) = k (a constant) is not suitable.

In this video I show you why and how to handle this situation by considering the following example.

Find the general solution to

  1. \dfrac{{{d^2}y}}{{d{x^2}}} - 4\dfrac{{dy}}{{dx}} = 2

f(x) = kepx (exponential types)

Sometimes the standard particular integral for f(x) = kepx (an exponential function) is not suitable.
In this video I show you why and how to handle this situation by considering the following example.

Find the general solution to

  1. \dfrac{{{d^2}y}}{{d{x^2}}} - 3\dfrac{{dy}}{{dx}} + 2y = {e^{2x}}