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You are given the differential equation dy/dx = y' = f(x, y) with initial condition y(0 ) 1 = . The following numerical method is also given:
where fn = f( xn , yn) = f(nh, yn) x , y f nh, y = = and h is the integration step.
(a) Is this an explicit or implicit method? Explain you answer.
(b) Find an expression for local error of this method.
(c) If one takes f = - σy (where σ > 0 and constant) is this method stable? Prove your answer mathematically.
(d) What is the condition for the iterative convergence of the method (when f = - σy )? Show that fulfillment of the condition for stability of the method assures iterative convergence.
Ask queFrom these studies, which of the following may be considered a variable that can have a probability distribution? [I] Percentage of Sub-Saharan Africans that smoke [II] Perc
1. Calculate the mean and mode of: Central size 15 25 35 45 55 65 75 85 Frequencies 5 9 13 21 20 15 8 3 The following data shows the monthly expenditure of 80 students of
# I have to make assignment on vital statistics so kindly guide me how to make and get good marks
Properties of correlation
velocity of a particle which moves along the s-axis is given by v=2-4t+5t then find position velocity,acceleration
what are the characteristics of research tool?
You are going to purchase a part from a specialty vendor. Your company needs a C p of at least 1.67 on a critical dimension of the part. The dimensional specification for this p
Harmonic Mean The harmonic mean also called harmonic average, in the total numbers of items of variable divided by the sum of r reciprocals of the values of the variable. In
the president of a certain firm concerned about the safety record of the firms employee sets aside $50 million a year for safety education. the firms accountant believes that more
Framing of Questionnaire: Questionnaire is a schedule of questions which is sent to the respondents for filling in by them in their own handwriting together the information rel
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