- #1
Northbysouth
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Homework Statement
A psychology class is studying memory. Several objects are uncovered to view for a given amount of minutes and then covered again. At most 150 objects can be viewed and remembered. The class found that after 10 minutes the average student could remember 25 objects. The differential equation that models this study is given by
dN/dt = k(L-N)
Solve this differential equation to find an equation that will give the number of objects remembered at any time t.
Homework Equations
The Attempt at a Solution
I'm a little unsure of what I'm doing, so some feedback would be great.
dN/dt = k(L-N)
dN = (kL - kN)dt
So, I think I need to move the N on the right hand side to the left, but I'm not sure how to do this, as every action I take keeps other prevents me from isolating N and dN on the left hand side.
Can I leave the N on the right hand side and integrate the left with respect to dN and the right with respect to dt?