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5. (32 points) Consider the following differential equations: A. (iE =y2x B. 3: =araretany C. ji =y2COS? (a) Two of these equations are separable. Which

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5. (32 points) Consider the following differential equations: A. (\"iE =y2x B. 3: =araretany C. ji =y2COS? (a) Two of these equations are separable. Which two are they? (b) Of the two separable equations, only one is simply solvable. Solve it with initial value y(0) = 2. ((3) Consider the remaining separable equation. Suppose that y(1) = 1. Use Euler's method with A1: = 0.5 to show that 9(2) m 2.1. Please use the table method as in the Euler's method lab. (d) By using the slopeeld applet, nd the solution of the nal remaining differential equation with initial value y(0) = 2

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