7. Solve the equation Y'(t) = XY (t) + = 1 1 + t² Y(0) = 0; Y(t) = tan-¹(t) is the true solution. Use Euler's method, the backward Euler method, and the trapezoidal method. Let A : -1,-10, -50, and h = 0.5, 0.1, 0.001. Discuss the results. In implementing the backward Euler method and the trapezoidal method, note that the implicit equation for yn+1 can be solved explicitly without iteration. - A tan-¹(t),

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