5. Let C be the circle x? +y} = 4_which is positively oriented. Let C,bethehalf-circleC; = {(x, y)| x² +y = 4, y > 0}whoseupperorientation is inherited from that of C. Evaluate| (1+xy)e"dx +(e"+x*e"")dy .2 ry

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5. Let C be the circle x +y} =4_which is positively oriented. Let C, be the upper half-circle C1 = {(x, y)| a² +y} = 4, y > 0} whose orientation is inherited from that of C. Evaluate (1+xy)e"dx+(e" +æ²e")dy .

5. Let C be the circle x +y} =4_which is positively oriented. Let C, be the upper half-circle C1 = {(x, y)| a² +y} = 4, y > 0} whose orientation is inherited from that of C. Evaluate (1+xy)e"dx+(e" +æ²e")dy .

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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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

Question

5. Let C be the circle x? +y} = 4_which is positively oriented. Let C,
be
the
half-circle
C; = {(x, y)| x² +y = 4, y > 0}
whose
upper
orientation is inherited from that of C. Evaluate
| (1+xy)e"dx +(e"+x*e"")dy .
2 ry

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