Higher Order Non-Homogeneous Linear Diff Equations

Method of Undetermined Coefficients

  1. Find the general solution of the differential equations.
  2. SET UP the correct form for the particular solution, \( y_p(t) \). View Solution
    • \( y^{(4)}-3y'''+2y''=5e^{t}+7t \)
    • \( y'''-3y''=\cosh(3t)-5t^2 \)
  3. SET UP the correct form for the particular solution, \( y_p(t) \). Note that \(D=\frac{d}{dt}\).
    • (i) \(y''-y= 2e^{t} \) (ii) \(y'''-y''-6y'= 7te^{-2t} \)
      View Solution
    • (i) \(y'''+4y' = 3te^{t} +3\sin(2t)\) (ii) \(D^2(D+1)^3[y] = 5t-7+4e^{-t} \)
      View Solution