a) Clearly explain how you obtain the Modified Euler's method. i.e. h Yn+1 = Yn + hf(tn + h 2. Yn +f(tn, Yn)) Given y' = t2 - y, y(0) = 1, find correct to four decimal places the value of y(0.1) and y(0.2) by using Modified Euler's method. b) Solve y' = -2t – y in the interval 0 < t < 0.6 by Modified Euler's method taking h = 0.2 given that y(0) = -1 Solve y' = log(t+y) in the time interval 0

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.