Second Order Linear Differential Equations: Equal Roots

Formula Derivation and Examples (Video)
  1. Find the fundamental set of solutions and the general solution: View Solutions for (a) and (b)
    • (a) \( y''-6y'+9y=0 \)
    • (b) \(4y''- 4y'+y=0 \)
  2. Find the solution of the given initial value problem (IVP):
    • (a) \(9y''-12y'+4y=0; \quad y(0)=2, y'(0)=-1\) Solution
    • (b) \(y''+4y'+4y=0; \quad y(-1)=2, y'(-1)=1\) Solution