I would just like to have my first two questions checked, and on the last one I'm not even quite sure how to start it.(adsbygoogle = window.adsbygoogle || []).push({});

Find the general solution of the differential equation.

1)dy/dt = t^4*y

dy/y = t^4 dt

Integrate both sides:

ln|y| = (t^5)/5 +c

Raise both sides by e to get rid of ln:

y = +/- ce^(t^5/5)

Is y = 0 also a solution (equilibrium)?

2)dy/dt = 2-y

dy/(2-y) = 1 dt

integrate both sides:

-ln|2-y| = t+c

ln|2-y| = -t+c

Raise both sides by e to get rid of ln:

|2-y| = ce^-t

y=ce^-t +2

Is y=2 also a solution (equilibrium)?

3)dy/dt = 1/(ty + t + y + 1)

Im not even sure how to get this in the form dy/dt = f(t)g(y)

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# Separating Variables

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