Mathematics · Differential Equations
Consider the boundary value problem (BVP): (e -5x y')' + 6e -5x y = -f(x), 0 3x + B e 2x )(C e 2ξ + D e 3ξ ) for 0 ≤ ξ ≤ x, and G(x, ξ) = (e 3ξ + B e 2ξ )(C e 2x + D e 3x ) for x ≤ ξ ≤ ln 2, such that ∫ 0 ln 2 G(x, ξ) f(ξ) dξ is the solution of the BVP, then the values of B, C, and D are:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1B = 2, C = -1, D = -1
- 2B = 2, C = 1, D = 1
- 3B = -2, C = 1, D = -1✓
- 4B = -2, C = -1, D = 1
Correct answer
B = -2, C = 1, D = -1
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