Special method for solving a Linear Differential Equation with constant coefficients using Method of undetermined coefficients

Special method for solving a Linear Differential Equation with constant coefficients

Method of undetermined coefficients

Topic

Special method for solving a Linear Differential Equation with constant coefficients
Method of Undetermined Coefficients
Method of Variation of parameters

Method of Undetermined Coefficients Problems

  1. Use the method of undetermined coefficients to solve (d^2 y)/(dx^2) + dy/dx-2y = x+sinx
  2. Solve by the method of undetermined coefficients (D^2-3D+2)y = x^2+e^x
  3. By the method of undetermined coefficients solve (d^2y/dx^2)+y = 2 cos x
  4. Solve (D^2 – 2D)y = e^x sin x by method of undetermined coefficients
  5. Solve (D^2 +2D+4)y = 2x^2 +3 e^x by method of undetermined coefficients

Method of Variation of parameters Problems

  1. Solve by the method of variation of parameters y’’-6y’+9y = e^3x / x^2
  2. Solve y’’+ y = tan x by the method of variation of parameters
  3. Solve by the method of variation of parameters y’’+ a^2y = sec ax
  4. Solve by the method of variation of parameters (d^2y/dx^2 – y) = 2 / (1+e^x)
  5. Solve by the method of variation of parameters y’’+ 4y = 4 tan 2x

 

 

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