Question

Given the equation dy/dt=(p/2)-450

Find the time of extinction if p(0)=psub0, where 0

This is question number 7

Step 1

As per the given information, it seems that there is a typing error in the question. According to Leibnitze linear equation, instead of dy/dt, it should be dp/dt.

So, I will be solving the question considering the equation to be : dp/dt = p/2 - 450.

According to Leibnitze linear equation, the standard form of an ODE is : dp/dt + Ry = S, where R, S are arbitary functions of t.

The general solution of this ODE is: p(t) x I.F = ∫S(I.F) dt +C, where Integrating Factor, I.F = e^{∫Rdt}.

Now, let us solve the given ODE accordingly:

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