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SampleTest2v1

# SampleTest2v1 - MATH 3705 AB Test 2 Solutions February 2006...

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MATH 3705 AB Test 2 - Solutions February 2006 LAST NAME: ––––––––––––––––— ID#: ––––––– Questions 1-5 are multiple choice. Circle the correct answer. Only the answer will be marked. 1. [3 marks] The general solution of x 2 y II +2 xy I + y =0for x W =0is ( a ) c 1 | x | 1 2 + c 2 | x | 3 2 ( b ) c 1 | x | 1 2 + 3 2 + c 2 | x | 1 2 3 2 ( c ) | x | 1 2 + 3 2 [ c 1 + c 2 ln | x | ] ( d ) | x | 1 2 ^ c 1 cos X 3 2 ln | x | ~ + c 2 sin X 3 2 ln | x | (e) None of the above 2. [3 marks] The general solution of 4 x 2 y II +8 xy I + y = 0 for x W ( a ) c 1 | x | 1 2 + c 2 | x | 1 2 ( b ) | x | 1 2 [ c 1 + c 2 ln | x | ]( c ) | x | 1 2 [ c 1 cos (ln | x | )+ c 2 sin (ln | x | )] ( d ) | x | 1 2 & c 1 cos w 1 2 ln | x | W + c 2 sin w 1 2 ln | x | W] (e) None of the above 3. [2 marks] The general solution of x 2 y II + xy I +(7 x 2 1) y = 0 for x> 0is ( a ) c 1 J 1 ( 7 x c 2 Y 1 ( 7 x )( b ) c 1 J 1 ( 7 x c 2 J 1 ( 7 x ) ( c ) c 1 J 7 ( x c 2 J 7 ( x d ) c 1 J 7 ( x c 2 Y 7 ( x e )Noneo ftheabove 4. [2 marks] The general solution of x 2 y II + xy I +(4 x 2 7) y = 0 for ( a ) c 1 J 2 ( 7 x c 2 J 2 ( 7 x b ) c 1 J 2 ( 7 x c 2 Y 2 ( 7 x ) ( c ) c 1 J 7

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SampleTest2v1 - MATH 3705 AB Test 2 Solutions February 2006...

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