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1) If w= Inz, then the family of straight lines u = constant in the z- plane is mapped into 21 the family of straight lines passing through origin O a family of concentric circles a family of con focal hyperbolas a family of confocal ellipses The ang lingo od but the transformation au 19

1) If w= Inz, then the family of straight lines u = constant in the z- plane is mapped into 21 the family of straight lines passing through origin O a family of concentric circles a family of con focal hyperbolas a family of confocal ellipses The ang lingo od but the transformation au 19

Advanced Engineering Mathematics
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) If w=Inz, then the family of straight lines u = constant in the z - plane is mapped into the family of straight lines passing through origin a family of concentric circles a family of con focal hyperbolas a family of con focal ellipses 2) The straight lines L₁ : y = 0, L₂ : x = 0, are mapped by the transformation w = 2², into the curves C₁ and C2, respectively in the w- plane. Then, the angle of between the curves C₁ and C₂ at w = 0, is intersection O O O OKIN 3) The image of the unit circle |z| = 1 under the transformation w = 2z+z², circle O straight line parabola cardiod is a
Transcribed Image Text:1) If w=Inz, then the family of straight lines u = constant in the z - plane is mapped into the family of straight lines passing through origin a family of concentric circles a family of con focal hyperbolas a family of con focal ellipses 2) The straight lines L₁ : y = 0, L₂ : x = 0, are mapped by the transformation w = 2², into the curves C₁ and C2, respectively in the w- plane. Then, the angle of between the curves C₁ and C₂ at w = 0, is intersection O O O OKIN 3) The image of the unit circle |z| = 1 under the transformation w = 2z+z², circle O straight line parabola cardiod is a
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