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Flashcards

Differential Equations

Melina Mackey Mathematics English 6 cards

Differential Equations

Cards in this deck (6)

  1. 1Differential equationRelates a function of one or more variables with its derivatives
    e.g. H(x,y, y', y",..., y^(n)) = 0
  2. 2Initial value problem: 1st order DEInitial value problem: 1st order DE
  3. 3Initial value problem: 2nd order DEInitial value problem: 2nd order DE
  4. 4Separation of variables: losing solutions- We can lose the solution h(y) = 0 when dividing by h(y)
    - Always check whether any solution of h(y) = 0 is also a solution of the differential equation
  5. 5Solving non-homogeneous DE's1. Find solution of homogeneous equation
    2. Find a particular solution
    3. Add together to get the general solution of non-homogeneous equation
    Solving non-homogeneous DE's
  6. 6Non-homogeneous equationNB: homogeneous => S(x) = 0Non-homogeneous equation

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Mathematics Flashcards on Differential Equations, created by Melina Mackey on 01/06/2019.
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Melina Mackey
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  • Created by Melina Mackey · Apr 20, 2019
  • Copied by Melina Mackey · Apr 21, 2019
  • Copied by Melina Mackey · Jun 1, 2019
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