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3. 9y4yet2 y0a let a0 be the value of a for...

# Question: 9y4yet2 y0a let a0 be the value of a for...

###### Question details

9y′−4y=e^−(πt/2), y(0)=a Let a0 be the value of a for which the transition from one type of long-run behavior to another occurs.

Find the critical value a0 exactly. a0= ?

(please make sure -(πt/2) is an exponent for e. previous person misunderstood that)