(i) Find fæ, fy, fry, far and fyy for the function: f(x, y) = e¹y² + x³y³ . Verify that fry = fyx. Find fa, fy, fry, fax and fyy for the function: Verify that fay=fyx. f(x, y) = y² cos x - x ln (x + y).
(i) Find fæ, fy, fry, far and fyy for the function: f(x, y) = e¹y² + x³y³ . Verify that fry = fyx. Find fa, fy, fry, fax and fyy for the function: Verify that fay=fyx. f(x, y) = y² cos x - x ln (x + y).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Transcribed Image Text:(i) Find fa, fy, fxy, fax and fyy for the function:
f(x, y) = exy² + x³y³.
Verify that fay = fyx.
Find fa, fy, fay, fex and fyy for the function:
f(x, y) = y² co
COS X
Verify that fay = fyx.
- x ln (x + y).
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