Keshav Pawar

Areas Keshav Pawar is Knowledgeable in:

Keshav Pawar's Problem Solving Skills:

1. Solving Mathematics Problems.

Keshav Pawar's Problem Solving Experience:

1. Find dm/dt and d^2m/dt^2 for the following function at x = 3.
   Use del x = 0.5. Compare the results against the analytic solution and estimate the percentage error.
   
   Solution :-
   m(t)=10e^(0.1t)
   dm/dt = 10*0.1e^(0.1t) = e^(0.1t)
   at t = 3,
   dm/dt = e^(0.1*3)=e^(0.3)
   Next step,
   
   d^2m/dt^2 = (0.1)e^(0.1t)
   at t = 3,
   d^2m/dt^2 = (0.1)e^(0.1*3) = 0.1e^(0.3)
   Next we have to estimate the error,
   So
   error = Analytical change in solution / Final solution
   So error = [e^0.3 - (0.1)e^(0.3)]/(0.1)e^(0.3)
   = 9%