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## Main Question or Discussion Point

Hi everyone.

I'm trying to derive the formula for the characteristic age of a pulsar.

What i'm starting with is the following differential equation.

dP/dt=K*P

What i think is odd, is several places they say solving this differential equation gives the following solution.

T=(P/((n-1)*dP/dt))*(1-(P

Here is a picture of the equation too:

But how do you get from equation 1. to this equation.

Please help me out, if you could explain it step by step, i would really appreciate it.

Because it doesn't make sense if you're trying to seperate both variables and integrate?

I'm trying to derive the formula for the characteristic age of a pulsar.

What i'm starting with is the following differential equation.

dP/dt=K*P

^{2-n}What i think is odd, is several places they say solving this differential equation gives the following solution.

T=(P/((n-1)*dP/dt))*(1-(P

_{0}/P)^{n-1}Here is a picture of the equation too:

But how do you get from equation 1. to this equation.

Please help me out, if you could explain it step by step, i would really appreciate it.

Because it doesn't make sense if you're trying to seperate both variables and integrate?

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