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The differential equation    satisfying y(0) = 1, y(π) = 0 has
  • a)
    A unique solution
  • b)
    A singly infinite family of solution
  • c)
    no solution
  • d)
    a doubly infinite family of solutions
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The differential equationsatisfying y(0) = 1, y(π) = 0 hasa)A uniqu...
y = c1 sinx + c2 cos x
y(0) = 1 ⇒ c1 = 1
y(π) = 0 ⇒ c2 = 0
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The differential equationsatisfying y(0) = 1, y(π) = 0 hasa)A unique solutionb)A singly infinite family of solutionc)no solutiond)a doubly infinite family of solutionsCorrect answer is option 'C'. Can you explain this answer?
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