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The following partial differential equation is defined for u : u ( x , y )
The set of auxiliary conditions necessary to solve the equation uniquely, is
  • a)
    One initial condition and two boundary conditions
  • b)
    Three initial conditions
  • c)
    Two initial conditions and one boundary condition
  • d)
    Three boundary conditions
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The following partial differential equation is defined for u : u ( x ,...
Given: 
∵ y is given as ≥ 0 so we take it as time.
Hence, above equation is nothing but one-D heat equation which requires one initial condition and two boundary condition.
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The following partial differential equation is defined for u : u ( x , y )The set of auxiliary conditions necessary to solve the equation uniquely, isa)One initial condition and two boundary conditionsb)Three initial conditionsc)Two initial conditions and one boundary conditiond)Three boundary conditionsCorrect answer is option 'A'. Can you explain this answer?
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