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8. (a) Solve the following initial value problem (IVP): dy dx = sin(x)y + e-cos() and y(0) = 0. (b) Solve the IVP in part

8. (a) Solve the following initial value problem (IVP): dy dx = sin(x)y + e-cos() and y(0) = 0. (b) Solve the IVP in part (a) numerically by using the Euler's method with h = 0.02 in the interval [0, 0.1] and give the absolute errors. (10 Points)

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