[₁ F. dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.) So Evaluate (a) (a) y (b) (b) (c) (d) (2x - 3y + 1) dx - (3x + y −7) dy (d) y 8] 4 6 -1 (0, 1) -1 C1 (0, 0) 1 (0, 1) y = e^ (0, 1) (2, 3) y y (0, -1) 3 x=√₁-y² (2, e²) (0, -1) C₂ (4, 1) |x=√√₁-y² C4 X X

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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[₁ F. dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.)
So
Evaluate
(a)
(a) y
(b)
(b)
(c)
(d)
(2x - 3y + 1) dx - (3x + y −7) dy
(d)
y
8]
4
6
-1
(0, 1)
-1
C1
(0, 0)
1
(0, 1)
y = e^
(0, 1)
(2, 3)
y
y
(0, -1)
3
x=√₁-y²
(2, e²)
(0, -1)
C₂
(4, 1)
|x=√√₁-y²
C4
X
X
Transcribed Image Text:[₁ F. dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.) So Evaluate (a) (a) y (b) (b) (c) (d) (2x - 3y + 1) dx - (3x + y −7) dy (d) y 8] 4 6 -1 (0, 1) -1 C1 (0, 0) 1 (0, 1) y = e^ (0, 1) (2, 3) y y (0, -1) 3 x=√₁-y² (2, e²) (0, -1) C₂ (4, 1) |x=√√₁-y² C4 X X
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Follow-up Question

C is incorrect. Please provide answer to question (c)

[₁ F. dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.)
So
Evaluate
(a)
(a) y
(b)
(b)
(c)
(d)
(2x - 3y + 1) dx - (3x + y −7) dy
(d)
y
8]
4
6
-1
(0, 1)
-1
C1
(0, 0)
1
(0, 1)
y = e^
(0, 1)
(2, 3)
y
y
(0, -1)
3
x=√₁-y²
(2, e²)
(0, -1)
C₂
(4, 1)
|x=√√₁-y²
C4
X
X
Transcribed Image Text:[₁ F. dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.) So Evaluate (a) (a) y (b) (b) (c) (d) (2x - 3y + 1) dx - (3x + y −7) dy (d) y 8] 4 6 -1 (0, 1) -1 C1 (0, 0) 1 (0, 1) y = e^ (0, 1) (2, 3) y y (0, -1) 3 x=√₁-y² (2, e²) (0, -1) C₂ (4, 1) |x=√√₁-y² C4 X X
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