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Partial Differential
Equations-Formation
Suman Mathews
 You will learn how to form a PDE by eliminating arbitrary constants.
 How to form a PDE from ∅ 𝑢, 𝑣 = 0 where u = f(x,y,z) ,v= f(x,y,z) ,z is a function of
x and y.
 How to form a PDE ,given a geometric condition.
0
𝑝 =
𝑥
𝑎2
2𝑧 𝑦 =
2𝑦
𝑏2
𝑎2
=
𝑥
𝑝
 You have learnt how to form a PDE by eliminating arbitrary constants, using a given
geometric condition and using Chain Rule
 Practice along with me, every step, every line!
Form PDEs from Geometric Conditions or Functions

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Form PDEs from Geometric Conditions or Functions

  • 2.  You will learn how to form a PDE by eliminating arbitrary constants.  How to form a PDE from ∅ 𝑢, 𝑣 = 0 where u = f(x,y,z) ,v= f(x,y,z) ,z is a function of x and y.  How to form a PDE ,given a geometric condition.
  • 3.
  • 4.
  • 5.
  • 6. 0
  • 7.
  • 8.
  • 9.
  • 10.
  • 11. 𝑝 = 𝑥 𝑎2 2𝑧 𝑦 = 2𝑦 𝑏2 𝑎2 = 𝑥 𝑝
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 28.
  • 29.  You have learnt how to form a PDE by eliminating arbitrary constants, using a given geometric condition and using Chain Rule  Practice along with me, every step, every line!