dy -2-y 1. Consider the differential equation dx %3D (a) On the axes provided, sketch a slope field for the given differential equation at the nine points indicated. y 3+ Co 2+ 1+ + 3 土 + 1 (b) Let y...


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dy -2-y<br>1. Consider the differential equation<br>dx<br>%3D<br>(a) On the axes provided, sketch a slope field for the given differential equation at the nine points<br>indicated.<br>y<br>3+<br>Co<br>2+<br>1+<br>+<br>3<br>土<br>+<br>1<br>(b) Let y = f (1) be the particular solution to the given differential equation with the initial condition<br>f (3) = 1. Write an equation for the line tangent to the graph of y = f (x) at x = 3. Use the equation<br>to approximate the value of f (3.5).<br>(c) Find the particular solution y = f (x) to the given differential equation with the initial condition<br>f (3) = 1.<br>%3D<br>2.<br>

Extracted text: dy -2-y 1. Consider the differential equation dx %3D (a) On the axes provided, sketch a slope field for the given differential equation at the nine points indicated. y 3+ Co 2+ 1+ + 3 土 + 1 (b) Let y = f (1) be the particular solution to the given differential equation with the initial condition f (3) = 1. Write an equation for the line tangent to the graph of y = f (x) at x = 3. Use the equation to approximate the value of f (3.5). (c) Find the particular solution y = f (x) to the given differential equation with the initial condition f (3) = 1. %3D 2.

Jun 05, 2022
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