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Question

Consider the following:

dy/dx=4xy

Providing evidence of your approach in a spreadsheet or word document, for Euler's

method and 2nd/4th Order Runge-Kutta methods, obtain the solution of this ODE for

y (x = 3) where y (x = 1) = 7.389056 (6dp). Consider the number of steps n of n

= 250, 500 and 750.