The dynamics of the variable ywith respect to variable xis described by the following stiff ODE: dy + 50 (y – cos (x)) = 0 where y (0) = 1 dx The exact solution is given as: y (x) = 3.998 × 10 ¬4...

Solve using Euler Modified Method

Extracted text: The dynamics of the variable ywith respect to variable xis described by the following stiff ODE: dy + 50 (y – cos (x)) = 0 where y (0) = 1 dx The exact solution is given as: y (x) = 3.998 × 10 ¬4 exp(-50x) + 0.9998 cos (x – 0.02) | Use the modified Euler numerical algorithm for solving stiff ODES to find the value of y(o.75), using 3 integration steps. Compare your calculated result with the exact solution and calculate the minimum number of correct significant digits in your answer.