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I. Given the equations 22 – y? – a3 + w² + 4 = 0 2xy + y² – 2z² + 3w + 8 = 0 a. Show that near (a,b) = (x0, Y0, zo, wo) = (2, – 1, 2, 1), z and w can be %3D expressed as differentiable functions of æ and y. b. Compute at (2, –1,2,1).

I. Given the equations 22 – y? – a3 + w² + 4 = 0 2xy + y² – 2z² + 3w + 8 = 0 a. Show that near (a,b) = (x0, Y0, zo, wo) = (2, – 1, 2, 1), z and w can be %3D expressed as differentiable functions of æ and y. b. Compute at (2, –1,2,1).

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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I. Given the equations x? – y? – a3 + w² + 4 = 0 %3D 2xy + y° 2z2 + 3w + 8 = 0 a. Show that near (a, b) = (x0, y0, z0, wo) = (2, –1, 2, 1), z and w can be expressed as differentiable functions of a and y. b. Compute dw at (2, –1,2, 1).
Transcribed Image Text:I. Given the equations x? – y? – a3 + w² + 4 = 0 %3D 2xy + y° 2z2 + 3w + 8 = 0 a. Show that near (a, b) = (x0, y0, z0, wo) = (2, –1, 2, 1), z and w can be expressed as differentiable functions of a and y. b. Compute dw at (2, –1,2, 1).
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