Unformatted text preview: MEC702 Short Test 1 Mode: Semester 2, 2015
Marks: Total 30
Weight: 10%
60 Duration: mins 1. Solve the ODE. Find a general solution. y 00 + 1.8y 0 − 2.08y = 0
(6 marks)
2. Solve the IVP. x2 y 00 − 4xy 0 + 6y = 0, y(1) = 0.4, y 0 (1) = 0
(6 marks) 3. Find the Wronskian. e−1.5x e4x , (6 marks)
4. Find the general solution using y = yh + yp for the ODE below, where Method of Undetermined Coecients. yp is to be found y 00 + 5y 0 + 4y = 10e−3x .
(6 marks)
5. Find the general solution using y = yh + yp for the ODE below, where Method of Variation of Parameters. (Hint: MVP: yp is to be found y 00 + 9y = sec 3x
´
´
yp = −y1 yW2 r dx + y2 yW1 r dx )
(6 marks) 1 ...
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 Winter '16
 Alveen Chand
 Trigraph, yp, general solution

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