(b) Based on an inspection of the direction field, describe how solutions behave for large t. O All solutions seem to approach a line in the region where the negative and positive slopes meet each other. O All solutions seem to eventually have positive slopes, and hence increase without bound. O All solutions seem to eventually have negative slopes, and hence decrease without bound. O The solutions appear to be oscillatory. O If y(0) > 0, solutions appear to eventually have positive slopes, and hence increase without bound. If y(0) ≤ 0, solutions appear to have negative slopes and decrease without bound. (c) Find the general solution of the given differential equation. y(t) = Use it to determine how solutions behave as t → 00. O All solutions converge to the function y = O All solutions will increase exponentially. O All solutions converge to the function y = O All solutions converge to the function y = O All solutions will decrease exponentially. cos 2t. sin 2t.

(b) Based on an inspection of the direction field, describe how solutions behave for large t. O All solutions seem to approach a line in the region where the negative and positive slopes meet each other. O All solutions seem to eventually have positive slopes, and hence increase without bound. O All solutions seem to eventually have negative slopes, and hence decrease without bound. O The solutions appear to be oscillatory. O If y(0) > 0, solutions appear to eventually have positive slopes, and hence increase without bound. If y(0) ≤ 0, solutions appear to have negative slopes and decrease without bound. (c) Find the general solution of the given differential equation. y(t) = Use it to determine how solutions behave as t → 00. O All solutions converge to the function y = O All solutions will increase exponentially. O All solutions converge to the function y = O All solutions converge to the function y = O All solutions will decrease exponentially. cos 2t. sin 2t.

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.CR: Chapter 11 Review

Problem 1CR

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