The following equation has no analytical solution even though it is linear. x + x = tan

Question:

The following equation has no analytical solution even though it is linear.

ẋ + x = tan t x(0) = 0


The approximate solution, which is less accurate for large values of t, is

 x(t) - 7 + 3t - 3 + 3e


Create a Simulink model to solve this problem, and compare its solution with the approximate solution over the range 0 ≤ t ≤ 1.

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