Suppose that we use Euler's method to approximate the solution to the differential equation (0,5) = 9. M Lot (,y) = x/y.

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Suppose That We Use Euler S Method To Approximate The Solution To The Differential Equation 0 5 9 M Lot Y X Y 1 (30.23 KiB) Viewed 18 times

Suppose that we use Euler's method to approximate the solution to the differential equation (0,5) = 9. M Lot (,y) = x/y. We let 10 = 0.5 and yo9 and pick a step size h 0.2. Euler's method is the the following algorithm. From , and your approximations to the solution of the differential equation at the nth stage, we find the next stage by computing + hf.) Complete the following table. Your answers should be accurate to at least seven decimal places. 0.5 0 1.7 9 9.0055000 20 9.01638 3 1.1 9.03434 41.3 9.06112 5 1.5 9.09842 The exact solution can also be found using separation of variables. It is (2) (2x^3/3-80.9)^(1/2) Thus the actual value of the function at the point 1.5 y(1.5) 9.11866