Test 2 Exam and Solutions - Integration and Approximation Test 2 Closed book and notes No calculators or any other electric device Show your work

Test 2 Exam and Solutions - Integration and Approximation...

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Integration and ApproximationTest 2Closed book and notes. No calculators or any other electric device. Show your work!problempointsscore110210310410520620720total100Name:Andrew ID:Section:1
21. (10 points) Determine an explicit solution to the differential equation:dydx=2xy2,y(0) = 1
2. (10 points) Consider the initial value problemdydx= 2x+y2,y(1) = 0.Use Euler’s method with step size 0.5 to approximate the value ofy(2).
33. (10 points) Given an initial guessx1= 1, compute the third approximationx3in Newton’smethod to find the root of the equationx5-3 = 0. (Do not simplifyx3. Leave it as fraction.)

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