The Murder Mystery Method to Solve Exact Differential Equations

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The Murder Mystery Method to Solve Exact Differential Equations

The Murder Mystery Method to Solve Exact Differential Equations

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Example 1: Interrogation(Integration) <strong>Solve</strong>: (3y 2 +4x 3 )dx+(6xy+2y)dy=0Witness M: Witness N:∫2 32 4( 3y + 4x) dx = 3xy+ x( xy + 2y)∫26 dy = 3xy+ y2

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Example 1 <strong>Solve</strong>: (3y 2 +4x 3 )dx+(6xy+2y)dy=0

Example 1: Interrogation(Integration) <strong>Solve</strong>: (3y 2 +4x 3 )dx+(6xy+2y)dy=0Witness M: Witness N:∫2 32 4( 3y + 4x) dx = 3xy+ x( xy + 2y)∫26 dy = 3xy+ y2

Page 5 and 6: Creating a Differential Equation fr
Page 7 and 8: Creating a Differential Equation fr
Page 9 and 10: The mystery we have to solveTherefo
Page 11 and 12: The murderer F and the witnessesM a
Page 13 and 14: If clues are consistent, then you k
Page 15: Murder Mystery Method Applied to Id
Page 19 and 20: Example 1: Final Solution Solve: (3
Page 21 and 22: Example 2: Interrogate (Integrate)
Page 23 and 24: Example 2: Final Solution Solve: (y