Help me derive the Elzaki variational Iteration method for partial differential equations and provide a set of solved examples, please.
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A: Step 1: Set Up the System of EquationsThe system of equations given is:
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A: Step 1: (a)-1. Let z=x+iy where x=Re(z) and y=Im(z). Given Im(z)=1, we have y=1. Thus, z=x+i and…
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Q: Compute for 21+ dt. (Hint: Express the integral 2+eit as a path integral.)
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Q: QUESTION 7 Consider the following differential equation (ODE #2) y"-4y'+13y=0. Please write the…
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Q: This is the reference book, please answer the following question. Ravi P. Agarwal Donal O'Regan An…
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A: from the graph it is clear that at x= -1 y= -1
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A: Step 1 : For Solution 3.1 : We are given the system of ordinary differential equations :…
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- A simple curve that often makes a good model for the variable costs of a company, as a function of the number of units produced, X, has the form: y= b₁x+ b₂x^2 b₃x^3 (There is no constant term because fixed costs are not included.) Consider the following table of recorded variable costs versus units produced for some company: *Picture attached below* - Find the best-fit model curve (from above) to the data (i.e., the least squares solution). Sketch your model.- Use your curve to estimate the variable costs for producing 1, 3, 11 and 20 items.A curve passes through the points (0, 18), (1, 10), (3,-18), and (6, 90); use Lagrange interpolation method and find the slope of the curve at x=2; Correct your results to five decimal places.The method of u-substitution is the integral analog of the chain rule of derivatives and the method of the integration of parts is the integral analog of the product rule for derivatives. How do you find the relationship between the derivative and their ananlogous integral rules?
- The monthly sales of Sunny Electronics’ new iSun media player is given by q(t)=1,077t−64t^2 units per month, t months after its introduction. The price Sunny charges is p(t)=108−t^2 dollars per iSun, t months after introduction. Find the rate of change of monthly revenue 2 months after the introduction of the iSun.Find the slope of the curve x^2 + y^2 = 3 + xy at (0,√3). (Simplify your answer.)The total profit of a company since it started a business is given by P(t) = .01t^3 + 10t − 15 where t is the number of months since the company started a business. (a) Find the total profit 11 months after the company started a business (b) Find the marginal profit of the 11th month.