Complex Variables and Partial Differential Equations (3130005)

Question-5a-OR

BE | Semester-3 Summer-2020 | 27-10-2020

Q5) (a)

Solve $r + s + q - z = 0$ .

f (D, D^{'}) = D^{2} + {DD}^{'} + D^{'} - 1 = (D - 1) (D + 1) + D^{'} (D + 1) = (D + 1) (D + D^{'} - 1)

i.e.

m_{1} = 0, m_{2} = - 1, α_{1} = - 1, α_{2} = 1

Solution:

z = e^{- x} f_{1} (y) + e^{x} f_{1} (y - x)

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