Question: Please help me to solve this questions its a differential equation problem. Problems 1. Use Euler's method with three steps to estimate y(2), where y(x)

Please help me to solve this questions its a differential equation problem.

Please help me to solve this questions its a differential equation problem.

Problems 1. Use Euler's method with three steps to estimate y(2), where y(x) is the solution of the initial value problem = y - y (1 ) = 0. Show all calculations and present the values of In, yn and the slope pn = f(In, yn), as simple fractions, in a table. Do NOT use a CAS! slope pn = f(In, yn) 2. For each of the following differential equations, determine whether it is an exact equation or not. If it is, find a general solution. a. 2yeary dx + ((2xy + 1)ezzy + 2y) dy = 0 b. (xy? - 4y3) dx + (x2y - 12x2y) dy = 0 3. Consider the differential equation 2- 2 - 2y x - y (a) Rewrite this equation in an exact form and verify that you get an exact equation. (b) Solve the initial value problem y(1) = 2. You may leave the answer in an implicit form

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