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Differential Equations : Tangents and Solutions

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 ...

Solution Summary

Differential Equations, Tangents and Solutions are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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