Consider the initial value problem y' = 0.4xy + y s.t y(1) = 1 Use Euler's method to obtain an approximation of y(2) using the step values a. h = 0.1 b. h = 0.05 Compare the approximate and actual values by finding the error at each step (include both Absolute and % relative errors in your table) then Sketch the solution. (You can use any computer software)

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Q: es of equation solutions need numerical approxi

A: Introduction: Below describe the  equation solutions need numerical approximation

Q: Which equation solutions need numerical approximation?

A: Your answer is given below.

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Q: Which equation solutions need numerical approximation?

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Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.