Consider the equations x² - y² − z³+w² +4 2xy + y²-22² +3w¹ +8 0 = 0. (a) Show that near (a, b) = (xo, yo, zo, wo) = (2,-1, 2, 1), z and w can be expressed as differentiable functions of a and y. dw (b) Compute at (2,-1,2,1). ar

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the equations
x² - y²z³+w² +4
0
2xy + y² - 2z²+3w¹ +8 = 0.
=
(a) Show that near (a, b) = (xo, yo, zo, wo) = (2,-1, 2, 1), z and w can be expressed as differentiable
functions of r and y.
ди
(b) Compute at (2,-1,2,1).
?х
Transcribed Image Text:Consider the equations x² - y²z³+w² +4 0 2xy + y² - 2z²+3w¹ +8 = 0. = (a) Show that near (a, b) = (xo, yo, zo, wo) = (2,-1, 2, 1), z and w can be expressed as differentiable functions of r and y. ди (b) Compute at (2,-1,2,1). ?х
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