Practice Topic 2: First Order Linear Equations


Part B: Integrating Factor


For each differential equation below, find a family of functions that solves the equation and satisfies the given initial conditions.

Before using the product rule, you will need to find the right function to multiply both sides by.

In each equation, yy is a function of tt that you are solving for.

Problem 1

y2y=e2ty' - 2 y = e^{2t}

Initial Conditions to Check:

  • ⬜️y(1) = 0
  • ⬜️y(1) = 1