Question: --------------------------------------------------------------------------------------------------------------------- Please be sure to show ALL work especially for the differential equations. Specifiy each part of the question and make sure each answer is

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Please be sure to show ALL work especially for the differential equations. Specifiy each part of the question and make sure each answer is boxed seperately. Thank you. Construct the slope field for the following differential equation: dy = t + 2y dt In your slope field, include the following and show how you found them using the methods of the course: a. Equilibrium solutions b. General equation for the isoclines c. Specific equations for isoclines when k= (-3,-1, 0, 1, 2} d. Regions in which the solutions are increasing or decreasing e. Changes in Concavity and regions in which the solutions are concave up or concave down f. Draw the slope field with the equilibrium solutions, isoclines from c, the changes in concavity and the regions of increasing and decreasing g. Draw solution curves on your slope field for (they do not have to be exact, but they should demonstrate the features of the slope field: a. y(0) = 0 b. y(0) = -3 C. y(0) = 5
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