Find the value of Yp

Question

A suitable form for Yp for the equation

y ^(5) - 4y^(3) = 2t is

Yp = At^4+ Bt³

Select one:

True

False

Answer 1

The answer is : TRUE

Comparing y_c = c₁ + c₂ t + c₃ t² + c₄ e^2t + c₅ e^-2t with our normal assumption for a particular solution

y_p = B + A t

we see that the duplication between y_c and y_p is eliminated when y_{p is multiplied by t}^3.

Hence y_p = B t³ + A t⁴ is the correct form for the particular solution