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Question: consider the following differential equation a computer algebra system is...

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Consider the following differential equation. (A computer algebra system is recommended.) (a) Draw a direction field for the given differential equation. 5512
1.0 10 o r y(0) > 0, solutions appear to eventually have positive slopes, and hence increase without bound. If Mos o, The solutions appear to be oscillatory. All solutions seem to eventually have negative slopes, and hence decrease without bound. All solutions seem to eventually have positive slopes, and hence increase without bound OAll solutions seem to approach a line in the region where the negative and positive slopes meet each other. ^ Lec 001. Lec 001-Assig docx ^ Lab safety iclic pp
t 110W 9blutions behave for large t. o If y(o) > o, solutions appear to eventually have positive slopes, and hence increase without b O The solutions appear to be oscillatory. O All solutions seem to eventually have negative slopes, and hence decrease without bound. 0 All solutions seem to eventually have positive slopes, and hence increase without bound. O All solutions seem to approach a line in the region where the negative and positive slopes me (c) Find the general solution of the given differential equation. y(t) = | 1-16 Use it to determine how solutions behave as t. All solutions converge to the function y 4-16. O All solutions converge to the function y = 4-16. OAll solutions will decrease exponentially. 0 All solutions will increase exponentially. O All solutions converge to the function y -16 Submit Answer Save P
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