Question: 2. Consider the ordinary differential equation x' = 2x + t2,x(1) = 3, and calculate an approximate value for x(1.2) by a) taking one step

2. Consider the ordinary differential equation x' = 2x + t2,x(1)

2. Consider the ordinary differential equation x' = 2x + t2,x(1) = 3, and calculate an approximate value for x(1.2) by a) taking one step of the Taylor series method of order 3 with h = 0.2, and b) Using Euler's method with a step size h = 0.1. Show your work and justify your answers for the above problems

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