# Test 2 - MATH 3705A Test 2 Solutions Questions 1-6 are...

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Unformatted text preview: MATH 3705A Test 2 Solutions February 13, 2009 Questions 1-6 are multiple choice. Circle the correct answer. Only the answer will be marked. [Marks] 1. The general solution of x 2 y 00 ¡ 2 xy + 3 y = 0 for x 6 = 0 is [3] (a) c 1 j x j 3 2 + c 2 j x j p 3 2 (b) c 1 j x j 3 2 + p 3 2 + c 2 j x j p 3 2 ¡ p 3 2 (c) j x j 3 2 + p 3 2 [ c 1 + c 2 ln j x j ] (d) j x j 3 2 " c 1 cos Ã p 3 2 ln j x j ! + c 2 sin Ã p 3 2 ln j x j !# (e) None of the above Solution: (d) 2. The general solution of x 2 y 00 ¡ 3 xy + 4 y = 0 for x 6 = 0 is [3] (a) j x j 2 [ c 1 + c 2 ln j x j ] ( b ) c 1 j x j 2 + c 2 j x j 2 (c) j x j 2 [ c 1 cos(ln j x j ) + c 2 sin(ln j x j )] (d) j x j 2 [ c 1 cos(2 ln j x j ) + c 2 sin(2 ln j x j )] (e) None of the above Solution: (a) 3. The general solution of 2 x 2 y 00 ¡ xy + y = 0 for x 6 = 0 is [3] (a) c 1 j x j 1 2 + c 2 j x j (b) j x j 1 2 " c 1 cos Ã p 7 2 ln j x j !...
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## This note was uploaded on 09/21/2009 for the course MATH 3705 taught by Professor Dr.e.devdariani during the Winter '09 term at Carleton.

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Test 2 - MATH 3705A Test 2 Solutions Questions 1-6 are...

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