Question
Consider the differential equation
dy
dx
= x(3+ 2y) with a particular
solution y = f(x) having an initial
condition y(-4) = -2. Use the
equation of the line tangent to the graph
of f at the point (-4, –2) in order to
approximate the value of f(-4.1).
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Transcribed Image Text

Consider the differential equation dy dx = x(3+ 2y) with a particular solution y = f(x) having an initial condition y(-4) = -2. Use the equation of the line tangent to the graph of f at the point (-4, –2) in order to approximate the value of f(-4.1).

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