Question

Which of the below functions is a solution to the following partial differential equation? a2f ay2 - Hint: For each function below, calculate both sides of the above equation, subtract, and then simplify. Note: It is possible that more than one of the below functions will satisfy the above equation. If that is the case, then selecting any one of the functions that work will give you full marks. (F) X«-» (A) 2-256x sin 8y (B) 2 Ince' + %) (C) e-64x sin 2y (D) sin 2x siny (E) e-2xcos 2y – е-2cos 2x (G) sin 8x sin 2y

Answer 1

Option E) is correct

c) f(x, y) = 4x sin laf= -64 e 19 67 = (64) sinzy of = -4 en einzy sin zy singy af = 20 coszy ay 12 DX 27 + - az Ox? is wrong. f(x,y) - sinzxsin y of = 200szasing af sin 2x cosy. ay 2%= -4 sinar sing 24 = - Sin2x sing ayr 4 = 7+ - 27 dy² 2) u wrong