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Consider the following partial differential equation (PDE)
where a and b are distinct positive real numbers. Select the combination(s) of values of real parameters ε and η such that f ( x, y) = e(εx+ηy) is a solution of the given PDE.
  • a)
  • b)
    ε = 0, η = 0
  • c)
  • d)
Correct answer is option 'A,C'. Can you explain this answer?
Most Upvoted Answer
Consider the following partial differential equation (PDE) where a a...
Given partial differential equation (PDE) is,
Differentiating two-times equation (ii) with respect to x,
Multiply a on both sides,
Differentiating two-times equation (ii) with respect to y,
Multiply b on both sides,
Adding equation (iii) and (iv),
Compare equation (i) and (v),
2 +bη2 = 1 …..(vi)
Equation (vi) must be satisfied if
Hence, the correct options are (A) & (C).
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Consider the following partial differential equation (PDE) where a and b are distinct positive real numbers. Select the combination(s) of values of real parameters ε and η such that f ( x, y) = e(εx+ηy) is a solution of the given PDE.a)b)ε = 0, η = 0c)d)Correct answer is option 'A,C'. Can you explain this answer?
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