Consider the equations (a) Show that near (a, b) = = x² − y² − z³ + w² + 4 2xy + y² - 2z²+3w¹ +8 = 0 = 0. (xo, yo, zo, wo) = (2, -1, 2, 1), z and w can be expressed as differen- tiable functions of x and y. δω (b) Compute at (2,-1, 2, 1). əx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Answers for both questions a and b.

Consider the equations
(a) Show that near (a, b)
=
x² - y²z³+w² +4
2xy + y² – 2z² +3w¹ +8
(xo, Yo, zo, wo)
tiable functions of x and y.
θω
(b) Compute at (2, —1, 2, 1).
əx
=
= 0
= 0.
(2,−1, 2, 1), z and w can be expressed as differen-
Transcribed Image Text:Consider the equations (a) Show that near (a, b) = x² - y²z³+w² +4 2xy + y² – 2z² +3w¹ +8 (xo, Yo, zo, wo) tiable functions of x and y. θω (b) Compute at (2, —1, 2, 1). əx = = 0 = 0. (2,−1, 2, 1), z and w can be expressed as differen-
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