A newborn child receives a $9,000 gift toward a college education from her grandparents. How much will the $9,000 be worth in
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The graph is attached below.
In order to find the y-intercept, check the graph and see where it hits the y-axis, so in this case the y-intercept would be at (0,6).
To find the x-intercept, check the graph and see where it hits the x-axis, and here it hits at x = -6.
so the ODE is indeed exact and there is a solution of the form . We have
With , we have
so