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SOLVED:(a) Program a calculator or computer to use Euler's method to compute y(1), where y(x) is the solution of the initial-value problem (d y)/(d x) 3 x^2 y=6 x^2 y(0)=3 for each of the given step sizes. (i) h=1 (ii) h=0.1 (iii) h=0.01 (iv) h=0.001 (b) Verify that y=2 e^-x^3 is the exact solution of the differential equation. (c) Find the errors in using Euler's method to compute y(1) with the step sizes in part (a). What happens to theerror when the step size is divided b

SOLVED:(a) Program a calculator or computer to use Euler's method t…

SOLVED: (c) Program the calculator or computer to use Euler's method with a step size h to estimate the population after 50 years if the initial population is 1000. (Round your answer to the nearest whole number:) P(50)(d) If the initial population is 1000, write a formula for the population after years. P(t)Use it to find the population after 50 years and compare it with your estimate in part (c). (Round your answer to one decimal place. P(50)

SOLVED: (c) Program the calculator or computer to use Euler's metho…

SOLVED:Finding intersection points Use Newton's method to approximate all the intersection points of the following pairs of curves. Some preliminary graphing or analysis may help in choosing good initial approximations. y=4 √(x) and y=x^2 1

SOLVED:Finding intersection points Use Newton's method to approxi…

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