Differential Equations : Tangents and Solutions
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Consider the differential equation (dy/dx) = (-xy^2)/2. Let y=f(x) be the particular solution to this differential equaiton with the initial condition f(-1)=2.
a) On the axis provided sketch a slope field for the given differential equation t the twelve points indicated. (the x-axis goes from -1 to 2 and the y-axis goes from 0 to 2).
b) Write an equation for the line tangent to the graph of f at x=-1.
c) Find the solution y=f(x) to the given differential equation with the initial condition f(-1)=2.
SHOW ALL WORK.
keywords: integration, integrates, integrals, integrating
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Consider the differential equation (dy/dx) = (-xy^2)/2. Let y=f(x) be the particular solution to this differential equaiton with the initial condition f(-1)=2.
a) On the axis provided ...
Purchase this Solution
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