2. Evaluate: $(8y-x²) dx + [2x-3y² + y]dy using one method. C is the boundary of the graph of a circle of radius 4 oriented counterclockwise. 3. Evaluate: $(x³ + xy) dx + [x² − ln(y²)]dy using one method. C is the boundary of a region bounded by the graphs of circles with radii of 2 and 4 centered at the origin oriented counterclockwise.
2. Evaluate: $(8y-x²) dx + [2x-3y² + y]dy using one method. C is the boundary of the graph of a circle of radius 4 oriented counterclockwise. 3. Evaluate: $(x³ + xy) dx + [x² − ln(y²)]dy using one method. C is the boundary of a region bounded by the graphs of circles with radii of 2 and 4 centered at the origin oriented counterclockwise.
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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![2. Evaluate: $(8y-x²) dx + [2x − 3y² + y]dy using one method. C is the boundary of
the graph of a circle of radius 4 oriented counterclockwise.
3. Evaluate: $(x³ + xy) dx + [x² − ln(y²)]dy using one method. C is the boundary of a region
bounded by the graphs of circles with radii of 2 and 4 centered at the origin oriented
counterclockwise.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca92bf5f-8e35-4ea7-bd85-d600dcb720b2%2Fbe0d9d80-7c7a-4534-8296-dd84d96929a2%2Fpixyoi2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Evaluate: $(8y-x²) dx + [2x − 3y² + y]dy using one method. C is the boundary of
the graph of a circle of radius 4 oriented counterclockwise.
3. Evaluate: $(x³ + xy) dx + [x² − ln(y²)]dy using one method. C is the boundary of a region
bounded by the graphs of circles with radii of 2 and 4 centered at the origin oriented
counterclockwise.
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