Homogeneous Linear Equations


Repeated Roots


Each differential equation has an associated characteristic equation with a repeated root in it.


You must meet all initial conditions for the answer to be complete.

Problem 1

Find a family of functions that solves the equation and satisfies the conditions below.

y′′=0y'' = 0

Initial Conditions to Check:

  • ⬜️y(0) = 1 and y'(0) = 0
  • ⬜️y(0) = 0 and y'(0) = 1