Along any solution curve that asymptotically approaches the saddle, either in forward or backward time, the value of H must be the same as at the saddle. Find a point on each of the 3 solution curves, colored black in the plot above, that asymptotically approach the saddle in either backwards or forwards time or both. Answers are x,y coordinates as a vector. We saw that in the nonlinear system of differential equations: the quantity is constant along solution curves. y []-[2²] = X' H (x, y) = -=-=-1² + X 1/1/2x² - 1 ·x³ 3

Along any solution curve that asymptotically approaches the saddle, either in forward or backward time, the value of H must be the same as at the saddle. Find a point on each of the 3 solution curves, colored black in the plot above, that asymptotically approach the saddle in either backwards or forwards time or both. Answers are x,y coordinates as a vector. We saw that in the nonlinear system of differential equations: the quantity is constant along solution curves. y []-[2²] = X' H (x, y) = -=-=-1² + X 1/1/2x² - 1 ·x³ 3

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 5E

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