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July 6, 2015

Homework Help: I would like to understand my calc homework:/

Posted by Amber on Wednesday, March 27, 2013 at 7:40pm.

Consider the differential equation given by dy/dx=(xy)/(2)

A) sketch a slope field (I already did this)
B) let f be the function that satisfies the given fifferential equation for the tangent line to the curve y=f(x) through the point (1,1). Then use your tangent line equation to estimate the value of f(1.2).
C) find the particular solution y=f(x) to the differential equation with the initial condition f(1)=1. Use your solution to find f(1.2).
D) compare your estimate of f(1.2) found in part b to the actual value of f(1.2)
E) was the estimate under or over? Use the slope field to explain why?

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