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Consider the initial value problem y' + 5 4 y = 1 − t 5 ,    y(0)...

Consider the initial value problem

y' +

5
4

y = 1 −

t
5

,    y(0) = y0.

Find the value of

y0

for which the solution touches, but does not cross, the t-axis. (A computer algebra system is recommended. Round your answer to three decimal places.)

y0 =

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