H.W 1-Evaluate dw at the given value of t: dt 1)- w =x+y x = cost y = sint 2) - w =x +y x = cost +sint y = cost -sint %3D 3)- w = x = cos't 1 y = sin't z : 4)- w = In (x²+y²+z?) = 4Vi x = cost y = sint 5)- w =2ye -In z x = In (12+1) y = tant z =e' %3D %3D 6)- w =z - sinxy x =t y = Int %3D

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
2x +y cosxy
dx
F
2y
-x cosxy
Exercises 3-4
H.W 1-Evaluate
dw
at the given value of t:
dt
1)-
w =x+y
X = cost
y = sint
2) -
2.
W =x" + y
X = cost + sint
y = cost -sint
3)-
y
W =-+
= cos't
y = sin't
x =
Z =-
w = In (x² +y² +z²)
z = 4VE
4)-
X = cost
y = sint
5) -
w = 2ye* -In z
x = In (1 +1)
y = tant
z =e'
6)-
w =z - sinxy
y = Int
x =t
Transcribed Image Text:2x +y cosxy dx F 2y -x cosxy Exercises 3-4 H.W 1-Evaluate dw at the given value of t: dt 1)- w =x+y X = cost y = sint 2) - 2. W =x" + y X = cost + sint y = cost -sint 3)- y W =-+ = cos't y = sin't x = Z =- w = In (x² +y² +z²) z = 4VE 4)- X = cost y = sint 5) - w = 2ye* -In z x = In (1 +1) y = tant z =e' 6)- w =z - sinxy y = Int x =t
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