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Derive and implement a Forward Differences Scheme to numerically solve the following and provide a plot of your solution between = 0 and = 5.

Derive and implement a Forward Differences Scheme to numerically solve the following and provide a plot of your solution between  = 0 and  = 5. 

Use a step size ℎ = 0.1, additional marks can be gained through analysis (e.g. errors, changes in step size, etc…)

dy a) dx = 4y, y(0) = 6 dy b) xcos(x) + 2, y(0) = 8 dx

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Forward difference scheme for the first order initial value problemIVP yfxy yx0Y0 in x0xn can be given as follows yn1ynhfxnyn or yn1ynhfxnyn on the basis of this algorithm we can write the MATLAB code ... blur-text-image

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