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# Differential Equations/Expert Profile

## Dr. Nyayapati Swami

Singapore
On Vacation
returns 06/30/2017
##### 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 in the area

Ph.D. in Mathematics with more than 20 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)

Differential equations have applications in many areas. One can solve many real life problems using methods of differential equations.

### Recent Answers from Dr. Nyayapati Swami

#### 2017-02-12 Mathematical constants with units.:

Your example of Pi (ratio of the circumference to the diameter of a circle) clearly has no units. (it does not depend on the units used to measure the circumference and diameter of the circle)  It is the

#### 2013-02-25 Bacteria Growth model:

P=c*e^(r t)   t=3 , P = 400:  400 = c*e^(3r)   t=10, P = 2000: 2000 = c*e^(10r)  Solve for r and c from these equations.    2000/400 = e^(10r)/e^(3r)   5 = e^(7r)   e^r = 5^(1/7)  Find c:   c*e^(3r) =

#### 2013-02-11 A Complex and tedious Simultaneous Differential Equation:

The workings are straight forward and can be found in any textbook.    Solution for the second equation is  y = A cos(sqrt(2) x) + B sin(sqrt(2)x) + x    There is a problem with the first equation: (D^2+5)x

#### 2012-09-22 Math Help:

II) The solution of dC/dt = -k expC is C(t) = -ln(kt + A), where A is a constant.  When t + T, you have already shown that the residual is -ln(kT + exp(-Q)). At this point another dose Q is given, and

#### 2012-07-08 differential equation:

Write the general equations of the curve and then use differentiation to eliminate the parameters:    For (1), general equation of the circle with centre at (a, a) is  (x - a)^2 + (y - a)^2 = r^2    Differentiate

Differential Equations