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Economics Faculty

Economics Faculty. EXACT: DIFFERENTIAL EQUATIONS Economic Applications . LESSON 5 prof. Beatrice Venturi . LINEAR FIRST ORDER DIFFERENTIAL EQUATIONS (E.D.O.). Remember that given a function of two variable f ( x , y ), its totally differential is given by :.

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Economics Faculty

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  1. Economics Faculty EXACT: DIFFERENTIAL EQUATIONS Economic Applications LESSON 5 prof. Beatrice Venturi Mathematics for Economics Beatrice Venturi

  2. LINEAR FIRST ORDER DIFFERENTIAL EQUATIONS (E.D.O.) Remember that given a function of two variable f(x , y), its totally differential is given by: When the differential is set equal to zero, the resulting equation Is known as an exact differential equation. Mathematics for Economics Beatrice Venturi

  3. EXACTDIFFERENTIAL EQUATIONS . For instance given: The total differential is Thus the differential equations is exact. Mathematics for Economics Beatrice Venturi

  4. EXACTDIFFERENTIAL EQUATIONS . In general a differential equation : or is exact if and only if exist a function f(y ,t) such that: The test of exactness Mathematics for Economics Beatrice Venturi

  5. EXACTDIFFERENTIAL EQUATIONS Method of solution. It follows from: That: Example: Mathematics for Economics Beatrice Venturi

  6. EXACTDIFFERENTIAL EQUATIONS Method of solution. It follows from: That: Example: Mathematics for Economics Beatrice Venturi

  7. EXACTDIFFERENTIAL EQUATIONS but then Mathematics for Economics Beatrice Venturi

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