Show that f(fdx + gdy = f( 18x²y'da +24y³a³dy is independent of path: (9,3) (4,-4) af = 72x^2y^3 dy 8g da = 72x^2y^3 (9,3) (18x²y^dx + 24y³x³ dy = (4,-4)
Show that f(fdx + gdy = f( 18x²y'da +24y³a³dy is independent of path: (9,3) (4,-4) af = 72x^2y^3 dy 8g da = 72x^2y^3 (9,3) (18x²y^dx + 24y³x³ dy = (4,-4)
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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Transcribed Image Text:af = 72x^2y^3
dy
8g
dr
Entered
= 72x^2y^3
72*(x^2)*(y^3)
Show that , fdx + gdy = f(3) 18x²y¹dx + 24y³x³ dy is independent of path:
(4,-4)
72*(x^2)*(y^3)
-1.3965E+06
(9,3) 18x²y¹dx + 24y³x³dy =
(4,-4)
Answer Preview
72x²y³
72x²y³
-1.3965 × 106
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