Solve the given initial-value problem. x(t) == 1 |N 0 2 X' = 1 1 X, X(0) = (5) 2
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x(t)
==
1
|N
0
2
X' =
1
1
X, X(0) = (5)
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- Does the equation y=2.294e0.654t representcontinuous growth, continuous decay, or neither?Explain.The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.
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