Use Euler's method with step sizes h = 0.1 and h = 0.05 to find approximate values of the solution of the initial value problem: y′ + 2y = x^3(e^−2x), y(0) = 7 at x = 0, 0.1, and 1.0 Compare these approximate values with the values of the exact solution: y = [e^(−2x/4)](x^4 + 4) Hint: Verify this exact solution by Linear 1st order solution method.

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