Consider the differential equation dx dt e sin x-2x cos x, x(0) = 0.1 Obtain an...

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Consider the differential equation dx dt e sin x-2x cos x², x(0) = 0.1 Obtain an approximate solution r(t) around the point x = 0. (Hint: Use Taylor series to approximate the right side around x = 0 with a linear function of x.) Consider the differential equation dx dt e sin x-2x cos x², x(0) = 0.1 Obtain an approximate solution r(t) around the point x = 0. (Hint: Use Taylor series to approximate the right side around x = 0 with a linear function of x.)