Consider the following initial value problem. (A computer algebra system is recommended. If a reliable estimate does not exist, enter DNE.) y² + 2ty y' = 3+2 y(1) = 2 Use Euler's method with h = 0.1, 0.05, 0.025, and 0.01 to explore the solution of this problem for 1 ≤ t ≤ 3. What is your best estimate of the value of the solution at t = 2.5? (Round your answer to two decimal places.) What is your best estimate of the value of the solution at t = 3? Are your results consistent with the direction field given below? y 2-3 t

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