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The solution to the differential equationwhere k is a constant, subjected to the boundary conditions u(0) = 0 and u(L) = U, is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The solution to the differential equationwhere k is a constant,subject...
Concept:
If roots are real and different then

Calculation:
Given:


D2 – kD = 0    
m(m - k) = 0
m1 = 0, m2 = k 
Roots are real and different

u(0) = 0
∴ C1 + C2 = 0  .................... (2)
u(L) = U

solving (2)  and (3), we get

Putting values fo C1 and C2 in eqn 1
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The solution to the differential equationwhere k is a constant,subjected to the boundary conditions u(0) = 0 and u(L) = U, isa)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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