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Consider the nonlinear equation a Linearize the right-hand side about the points ro = 1 and yo = 2. Hint: To obtain a linear approximation of a nonlinear system of the form z = f(x, y), where x, y are two independent variables, a Taylor series approximation is needed about the operating point To, yo. Hint: the following is useful to obtain your linearization [COL z = xy + 10x²y + 5y². z = f(zo, y0) + Ignore the higher order terms. af (220) + 02-2016 (U10)] +1 - dy fo.y=90 b Evaluate the linearization in part a at the points r = 3 and y = 10. H.O.T.

Consider the nonlinear equation a Linearize the right-hand side about the points ro = 1 and yo = 2. Hint: To obtain a linear approximation of a nonlinear system of the form z = f(x, y), where x, y are two independent variables, a Taylor series approximation is needed about the operating point To, yo. Hint: the following is useful to obtain your linearization [COL z = xy + 10x²y + 5y². z = f(zo, y0) + Ignore the higher order terms. af (220) + 02-2016 (U10)] +1 - dy fo.y=90 b Evaluate the linearization in part a at the points r = 3 and y = 10. H.O.T.

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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2 Consider the nonlinear equation a z = xy + 10r²y + 5y². Linearize the right-hand side about the points zo = 1 and yo = 2. Hint: To obtain a linear approximation of a nonlinear system of the form z = f(x,y), where x, y are two independent variables, a Taylor series approximation is needed about the operating point zo. yo. Hint: the following is useful to obtain your linearization 2 = f(70,90) + [3/12=20.3=10 rəf Ignore the higher order terms. (x-xo) + af dy b Evaluate the linearization in part a at the points az = 3 and y = 10. - - H.O.T. x
Transcribed Image Text:2 Consider the nonlinear equation a z = xy + 10r²y + 5y². Linearize the right-hand side about the points zo = 1 and yo = 2. Hint: To obtain a linear approximation of a nonlinear system of the form z = f(x,y), where x, y are two independent variables, a Taylor series approximation is needed about the operating point zo. yo. Hint: the following is useful to obtain your linearization 2 = f(70,90) + [3/12=20.3=10 rəf Ignore the higher order terms. (x-xo) + af dy b Evaluate the linearization in part a at the points az = 3 and y = 10. - - H.O.T. x
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