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For a first order linear differential equation the solution process is as given below:
1. Place the differential equation in the correct initial form, (1).
2. Determine the integrating factor, µ (t) and using (10).
3. Multiply everything in the differential equation through µ (t) and verify that the left side turns into the product rule (µ (t) y(t))' and write this as such.
4. Integrate both sides; ensure you properly deal along with the constant of integration.
5. Resolve for the solution y(t).
Solve 4 cos(t )= 3 on[-8,10]. Solution : Here the first step is identical to the problems in the previous section. First we need to isolate the cosine on one side by itself & t
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Definition 1: Given the function f (x ) then 1. f ( x ) is concave up in an interval I if all tangents to the curve on I are below the graph of f ( x ) . 2. f ( x ) is conca
What other activities can you suggest to help a child understand the terms 'quotient' and 'remainder'? Once children understand the concept and process of division, with enough
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how to solve fraction word problems
Following is some more common functions that are "nice enough". Polynomials are nice enough for all x's. If f ( x) = p ( x ) /q (x ) then f(x) will be nice enough provid
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