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Course: TRADE 1056596, Spring 2011School: Istanbul Bilgi University
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501E MAK Engineering Mathematics Fall 2011 2012 HOMEWORK 1 Due Date : 03.11.2011 for all groups Solve the problems given below without using your computer. 1) Solve the following differential equation using the method of undetermined coefficients. (30 points) y v 5 y '' 36 y = x 2 + sin 2 Solve x 2) the following differential equation by using the Frobenius Method. (40 points) ( x 2 1) y '' 2 xy '+ 2 y = 0...
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501E MAK Engineering Mathematics
Fall 2011 2012
HOMEWORK 1
Due Date : 03.11.2011 for all groups
Solve the problems given below without using your computer.
1) Solve the following differential equation using the method of undetermined coefficients. (30 points)
y v 5 y '' 36 y = x 2 + sin 2 Solve x
2) the following differential equation by using the Frobenius Method. (40 points)
( x 2 1) y '' 2 xy '+ 2 y = 0
3) Reduce the given differential equation by using the indicated transformation and solve the Bessels
equation. (30 points)
xy '' y '+ 4 xy = 0
Transformation: y = ux
1
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Istanbul Bilgi University - TRADE - 1056596
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Istanbul Bilgi University - TRADE - 1056596
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Istanbul Bilgi University - TRADE - 1056596
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