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About Dr. Nyayapati Swami
Expertise
I can help you in solving first and second order differential equations. Questions must be at the Undergraduate level. Do not expect me to do all your homework.. If you have a homework question with no clues on how to go about, I will only give you some pointers on solving them.

Experience
Ph.D. in Mathematics with more than 15 years of teaching.
In addition to undergraduate calculus, I taught many more advanced subjects like Complex Analysis, General Topology, Numerical Analysis, Operations Research, Graph Theory, Mathematical Analysis, Mathematical Economics, Optimisation Theory.

Education/Credentials
Ph.D. (University of Toledo, USA)

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Differential Equations - soln for differential equation

Expert: Dr. Nyayapati Swami - 6/3/2009

Question
Need to solve this differential equation by integrating this equation (P'(t)) = -2-3P(t)-P^2 (t) with terminal condition P(1)=0

Answer
The equation is separable:

dP/(2 + 3P + P^2) = - dt

Using partial fractions this can be written as

[1/(P + 1)] - [1/(P + 2)] dP = - dt

Integration now gives

ln [(P + 1)/(P + 2) ] = -t + C

Hence

(P + 1)/(P + 2) = K e^(-t)
(where K is a constant)

Use the given condition to find K, and then solve for P

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