I. Evaluate the following: a. (x³ + cos y + 5 dy = - 3yx²) dx b. xdy – ydx = (4x2 + y2)dy c. dx + xydy = y?dx + ydy %3D С. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I.
Evaluate the following:
a. (x³ + cos y + dy = - 3yx2) dx
b. xdy – ydx = (4x2 + y?)dy
c. dx + xydy = y?dx + ydy
d. (x2 + 3y?)dx - 2xydy = 0
e. (1+x2)(dy – dx) = 2xy
f. y' + ycotx
%3D
|
%3D
sin 2x
%3D
Transcribed Image Text:I. Evaluate the following: a. (x³ + cos y + dy = - 3yx2) dx b. xdy – ydx = (4x2 + y?)dy c. dx + xydy = y?dx + ydy d. (x2 + 3y?)dx - 2xydy = 0 e. (1+x2)(dy – dx) = 2xy f. y' + ycotx %3D | %3D sin 2x %3D
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