Consider the following differential equation. [A computer algebra System is recommended.) y'+-=?co52t tat} (b) Based on an inspection of the direction field, describe how solutions behave for large t. 0 All solutions seem to eventually have positive slopes, and hence increase without bound. 0 If y[0} > I), solutions appear to eventually have positive slopes, and hence increase without bound. If 1/0)) S 0, solutions appear to have negative slopes and decrease without bound. 0 All solutions seem to eventually have negative slopes, and hence decrease without bound. All solutions seem to approach a line in the region where the negative and positive slopes meet each other. 0 The solutions appear to be oscillatory. (c) Find the general solution of the given differential equation. W) = X Use it to determine how solutions behave as t l 00. 1'\" All solutions converge to the function y = 0 All solutions converge to the function y = h 0 Ln M h. 0 All solutions converge to the function y = lulu lulu lulu U! 5 m r-r 0 All solutions will decrease exponentially. 0 All solutions will increase exponentially