Economics Dynamics Problems 54

Economics Dynamics Problems 54 - 38 Economic Dynamics Step...

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38 Economic Dynamics Step 2 Calculate the integrating factor µ ( t ) = e ± p ( t ) dt Step 3 Multiply throughout by the integrating factor, integrate both sides and add a constant of integration to the right-hand side (a) µ ( t ) ² dy dt + p ( t ) y ³ = µ ( t ) g ( t ) or d dt [ µ ( t ) y ] = µ ( t ) g ( t ) (b) ´ d dt [ µ ( t ) y ] dt = ´ µ ( t ) g ( t ) dt + c Step 4 Write the general result µ ( t ) y = ´ µ ( t ) g ( t ) + c Example 2.10 As an example, let us apply this four-step procedure to the equation dy dt = a + by Step 1 We can write this in the standard form dy dt by = a Step 2 Calculate the integrating factor µ
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This note was uploaded on 12/14/2011 for the course ECO 3023 taught by Professor Dr.gwartney during the Fall '11 term at FSU.

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