Second Order Linear Differential Equations: Real and Distinct Roots

Formula Derivation and Examples (Video)
  1. Find the fundamental set of solutions and general solution: View Solutions for (a) through (d)
    • (a) \( y''+5y'=0 \)
    • (b) \( y''- 4y=0 \)
    • (c) \( y''+3y'-4y=0 \)
    • (d) \( y''-7y'+4y=0 \)
  2. Find the solution of the given initial value problem (IVP):
    • (a) \( y''+y'-2y=0, \quad y(0)=2, y'(0)=1\) Solution
    • (b) \( y''+3y'=0, \quad y(0)=-2, y'(0)=3\) Solution
    • (c) \( y''+8y'-9y=0, \quad y(1)=1, y'(1)=0\) Solution