Consider the functions z= -6 ex In y, x= In (u cos v), and y = u sin v. dz dz (a) Express and as functions of u and v both by using the Chain Rule and by expressing z directly in terms of u and v before differentiating. ди av dz (b) Evaluate and at (u,v) = ди *** ੪ dz av

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Chapter2: Second-order Linear Odes
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Consider the functions z= -6 ex In y, x= In (u cos v), and y= u sin v.
dz
dz
(a) Express and as functions of u and v both by using the Chain Rule and by expressing z directly in terms of u and v before differentiating.
ди
OV
(b) Evaluate
at (u,v)= 3,
(3.7)
dz
ди
and
dz
av
Transcribed Image Text:Consider the functions z= -6 ex In y, x= In (u cos v), and y= u sin v. dz dz (a) Express and as functions of u and v both by using the Chain Rule and by expressing z directly in terms of u and v before differentiating. ди OV (b) Evaluate at (u,v)= 3, (3.7) dz ди and dz av
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