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4. Consider the initial condition y(1) = a where a is a constant. Substitute the initial condition into the general solution (that you found in
4. Consider the initial condition y(1) = a where a is a constant. Substitute the initial condition into the general solution (that you found in #1, #2, or #3 it does not matter since they are all same) and solve for (3. Substitute back this 6 into the general solution to find the specific solution in explicit format. Your answer will have a . 5. Use GeoGebra. Create a slider for "a". Then enter the specific solution you find in problem 4. Move your slider. What do you notice? Is there a specific value of "a." when the behavior of the graph changes? What is that value of "a"? Screen shot three graphs of the specific solution: one for a > 1/2Jr one for a = 1/2 and one for a
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