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- Dr. Nyayapati Swami

Singapore

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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.

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.

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.

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) =

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

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

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

Yes, the elements can be any real or complex numbers. In fact, one can consider matrices with elements from any Field. (In mathematics, a field is an algebraic structure more general than real or complex

Differential Equations

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