Sin²y dy V1 -x, given that y(-3) = 0. dx 2) Snow that the general solution for (x2 +x-6)dy = 4y dx is yã = A 5x - 2 x+3
Sin²y dy V1 -x, given that y(-3) = 0. dx 2) Snow that the general solution for (x2 +x-6)dy = 4y dx is yã = A 5x - 2 x+3
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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Please solve the following
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Transcribed Image Text:1).
dy
sin?y
= V1-x, given that y(-3) = 0.
dx
2)
5x - 2
Snow that the general solution for (x² + x – 6)dy = 4y dx is yå = A
x +3'
Transcribed Image Text:1) An area enclosed by the curves y= and
is illustrated in figure below.
y
(4,2)
2-
y = Vx
a) Determine the first moment of area with respect to x-axis, Q. using horizontal sampling strip.
b) State the coordinate of centroid if the area is unit? and the first moment, Qy is
32
unit.
15
3
2) Figure below shows a region in the first quadrant that is bounded by the curve a? +y? 2, the
line y = * and x-axis. Calculate the volume of solid generated when the shaded region is revolved
360° about y-axis.
y = X
x? + y? = 2
3)
Compute the definite integral
|f() dr where
S(æ) = {* - 3æ + 4; 0<r< 1
台lN
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