Consider the intial value problem y' -rac{3}{2}y=e^{t}, y(0)=y_{0} . (a) find the value of y_{0} that seperates solutions that grow positively as t ightarrow infinity from those that groe negativity. (b) how does the solution that corresponds to the critical value of y_{0} behave as t ightarrow infinity .

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Mathematics, 14.09.2019 08:20 gabegabemm1

Consider the intial value problem y' -\frac{3}{2}y=e^{t}, y(0)=y_{0} .
(a) find the value of y_{0} that seperates solutions that grow positively as t \rightarrow infinity from those that groe negativity.
(b) how does the solution that corresponds to the critical value of y_{0} behave as t \rightarrow infinity .

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Consider the intial value problem y' -\frac{3}{2}y=e^{t}, y(0)=y_{0} .
(a) find the value of y...

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