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1 Consider the initial value problem: y' = 2 l (a: + 4)e_2' where y(0) = 1 '9 0 Use Euler's method: yn+1 : yn

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1 Consider the initial value problem: y' = 2 l (a: + 4)e_2'\" where y(0) = 1 '9 0 Use Euler's method: yn+1 : yn + by; with step-size h : 0.1 to obtain an approximate solution to the initial value problem at w : 0.2. Your answer must be accurate to 4 decimal digits (i.e., |your answer correct answer| g 0.00005). Note: this is different to rounding to 4 decimal places You should maintain at least eight decimal digits of precision throughout all calculations. When a: = 0.2 the approximation to the solution of the initial value problem is: y(0.2) a lSkipped a: +7 84:: where y(0) : 5 Considerthe initial value problem: y' : m 92 Use Euler's method: ya\" = y + by; with step-size h = 0.05 to obtain an approximate solution to the initial value problem at a: = 0.1. Your answer must be accurate to 4 decimal digits (i.e., |your answer correct answer| 3 0.00005). Note: this is different to rounding to 4 decimal places You should maintain at least eight decimal digits of precision throughout all calculations. When a: : 0.1 the approximation to the solution of the initial value problem is: y(0.1) m |Skipped

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