Set3 23 Problem 2 Previous Problem List Next 1 point Find th

Set3 2.3: Problem 2 Previous Problem List Next (1 point) Find the function satisfying the differential equation and y(0) -6. y -5y

Integrating the equation y\'-5y = 6e^8t

If we integrate w.r.t. to t, we have

y - 5yt = 6/8e^8et+c

For, t=0 we have

-6 - 5y*0 = 6/8+c

c= -6-6/8 = -54/8

Therefore, y = 5yt + 6/8*e^8t -54/8 <--this is the final answer