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Dovator [93]
3 years ago
13

What is the answer ?

Mathematics
1 answer:
Alja [10]3 years ago
6 0
I plugged it into my calculator and I got 1,870.
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Step-by-step explanation:

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Problem1 The behavior of a physical system can be described by the following first order differential equation: dy/dt=2y +t^2
daser333 [38]

Answer:

y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}.

Step-by-step explanation:

Using first order linear differential equation:

\dfrac{\mathrm{d} y}{\mathrm{d} t} = 2y + t^2

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finding integrating factor:

I.F = e^{\int -2dt}

I.F =e^{-2t}

now,

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y = \dfrac{1}{e^{-2t}}(\int t^2dt+ c )

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hence the solution is

y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}

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