Q6. Assume the cost of each basic operation is 2 millisecond. Then, the estimated running time of the statement if ((a=d)) is: * 5n 3 8 O 4n O 5 O 4 O 2n

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Q: 4. Use the Laplace transform to solve the IVP a" + 4x' + 4x = 4e24, r(0) = 0, r' (0) = 1.

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Q: " + 4x' + 4x = 4e24, r(0) = 0, r' (0) = 1.

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Q: 5. Prove the following identity for n 2 1: Fzn+1 = F+1+ F;

A: We need to prove that ,  F2n + 1 = F2n+1 + F2n We know that ,   Fm+n = FmFn+1 + Fm-1Fn ,  m ≥ 1 , n ...

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Q: Obtain the solution using Integrating Factors Found by Inspection. 3.) 2x⁵y' = y(3x⁴ + y²)

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Q: (1) ,- (1 -2)"/3" (2) ,- nR/(2in+n) Z, -(-1)"-k +, where k is any integer.

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Q: By using the substitution u = x3", ir

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Q: 1. (C"B)A" 3 A = -1 B = -1 4 C = 1 2. tr(4ET – D) 1 1 1 2 6. 1 3 D = -1 1 E = -1 1 3 2 4 4. 3

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