Question: Help me its a differential equation problem 1. Use Euler's method with three steps to estimate y(2), where y(x) is the solution of the initial

 Help me its a differential equation problem 1. Use Euler's method

Help me its a differential equation problem

with three steps to estimate y(2), where y(x) is the solution of

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 En ,yn and the slope Pn = f(In, yn), as simple fractions, in a table. Do NOT use a CAS! slope Pn = f(In, Un) 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)e2xy + 2y) dy = 0 b. (xy2 - 493) dx + (x2y - 12x2y) dy = 0 2 - 2y 3. Consider the differential equation 2 dx 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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