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Engineering Mathematics Miscellaneous
  1. If y = f(x) is the solution of
    d²y
    		 = 0
    dx²

    with the boundary conditions y = 5 at x = 0, and
    dy
    		 = 2
    dx

    at x = 10, f(15) = _______.
    1. 25
    2. 35
    3. 28
    4. 32
Correct Option: B

d²y
 = 0
dx²

dy
 = C1
dx

C1 = 2
y = C1x + C2
at x = 0; y = 5 = C2
∴ y = 2 x + 5
at y (15) = 2 × 15 + 5 = 35


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