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nevsk [136]
3 years ago
15

A checking account is overdrawn if it has a negative balance. Marc’s account is overdrawn by $63. What will the balance be after

he deposits $173 and writes a check for $41?
Mathematics
1 answer:
miss Akunina [59]3 years ago
6 0
(-63 + 173) - 41 = ?
            110 - 41 = 69.

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Step-by-step explanation:

The differential equation y' + 1/t y = 3 cos(2t) is a first order differential equation in the form y'+p(t)y = q(t) with integrating factor I = e^∫p(t)dt

Comparing the standard form with the given differential equation.

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The general solution for first a first order DE is expressed as;

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Integrating ∫t(cos2t)dt using integration by part.

Let u = t, dv = cos2tdt

du/dt = 1; du = dt

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v = sin2t/2

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Substituting equation 2 into 1

yt = 3(tsin2t/2 - cos2t/4) + C

Divide through by t

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Hence the general solution to the ODE is y = 3sin2t/2 - 3cos2t/4t + C/t

3 0
3 years ago
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