- #1

- 165

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_{0}

The general form for first ODE has to resemble this

dy/dt + p(t) = g(t)

so I moved the y over to the left side of the equation

dy/dt - y = -5

I think this is where I screw things up. It's not really in this form dy/dt + p(t) = g(t) but rather dy/dt - p(t) = g(t).

Regardless, I went to find an integrating factor [tex]\mu[/tex](t) = e

^{[tex]\int[/tex]p(t)dt}

which gave me e

^{-t}as my [tex]\mu[/tex](t). You then have to multiply that to both sides of this equation

dy/dt - y = -5

Is my procedure correct so far? Because I cannot get the correct answer which is

y=5+(y

_{0}-5)e

^{t}