Answer Keys Test 2 Samples

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Answers to Sample Test 2016 1. (d) 2. (e) 3. (d) 4. (d) 5. (e) 6. (d) 7. (a) 8. (c) - ignore linear algebra questions 9. (d) 10. - ignore MATLAB questions 11. y p = 1 6 x 4 e 2 x - 1 6 x 3 e 2 x 12. - ignore linear algebra questions 3 - 1 - 1 3 = " 1 √ 2 1 √ 2 - 1 √ 2 1 √ 2 # · 4 0 0 2 · " 1 √ 2 - 1 √ 2 1 √ 2 1 √ 2 . # 1
Answers to Sample Test 2018 1. (b) 2. (c) 3. b = - 15 and a = - 1 4. w ( x ) = e x ( x 2 + 6 x + 5). The deflection profile satisfies the boundary conditions y (0) = 0, y 0 (0) = 0, y (1) = 0, y 0 (1) = 0. 5. x 2 y 00 - 7 xy 0 + 16 y = 0 6. e 4 t - 1 7. y ( x ) = c 1 cos(2 x ) + c 2 sin(2 x ) - x cos(2 x ) 8. y ( x ) = - 2 x + 3 sinh(2 x ) / cosh(2) 9. F ( s ) = e - 2 s /s 2 - e - 3 s /s 2 , s > 0 10. y ( t ) = 4 e 5 t + 2 te 5 t 2
Answers to Sample Test 2019 1. (c) 2. (b) 3. (a) 4. (d) 5. 4 3 e 4 t + 5 3 e - 2 t 6. y ( t ) = 7 e 2 t - e - 2 t 7. y ( x ) = - 3 2 + 3 2 e 2 x - x 2 - x 8. x = 0 is embedded, x = 1 is free, w ( x ) = 24 log( x ) 9. y ( x ) = 1 6 x 4 + c 1 x 2 + c 2 x - 2 10. F ( s ) = 1 s 2 - 3 s 2 e - 2 s + 2 s 2 e - 3 s is defined for s > 0. 3
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