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Sketch a Graph of the Solution of the Differential Equation ytt+6yt+18y=0 with the y ^ { tt } + 6 y ^ {t } + 18 y = 0 \text { with the }

question 40

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Sketch a graph of the solution of the differential equation ytt+6yt+18y=0 with the y ^ { tt } + 6 y ^ {t } + 18 y = 0 \text { with the } initial condition y(0) =3,yt(0) =9y ( 0 ) = 3 , y ^ { t } ( 0 ) = - 9


Definitions:

Compound Interest

Calculating interest by including both the original principal amount and the interest that has been piled up from former periods.

Exponential Functions

Mathematical functions describing growth or decay at rates proportional to the value of the function at any point in time.

Present Value

The present value of a future sum or cash flow series, considering a determined rate of return.

Compound Interest

Interest on both the initial principal and the interest that has been added to this principal.

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