eng math 501e_2011 2012 fall_week3_applications

Eng math 501e_2011 - 1 Application 1(Non homogeneous high order dif equ Solve the following differential equation 2 2 2 3 3 4sin ıv x y y y x e x

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Unformatted text preview: 1 Application 1 (Non homogeneous high order dif. equ.) Solve the following differential equation. 2 2 2 ''' 3 '' 3 4sin ıv x y y y x e x +- = + + Solution 2 2 4 3 2 2 2 2 1 2 3 4 3 1 1 2 3 4 4 3 2 21 3 2 21 2 21 21 21 24 2(24 6 ) 3(12 6 2 ) 2 3 ( 2 3) ( 3)( 1) 0 , 1 , 3 ' 4 3 2 '' 12 6 2 ''' 24 6 24 24 x x ıv a ax b ax bx c x r r r r r r r r r r r r r y c c x c e c e y ax bx cx dx e y ax bx cx d y ax bx c y ax b y a- → + +- + + = +- = +- = +- = = = = = - = + + + = + + + + = + + + = + + = + = → 2 2 4 3 2 21 48 12 36 18 6 1 36 1 48 18 48. 18 36 2 27 24 12 6 1 2 7 24. 12. 6 36 27 27 1 2 7 36 27 27 a ax b ax bx c x a a b b b a b c c c y x x x + +--- = → = -   →- = →- =     → = - → +- =     →- +- = → = -         = --- 2 22 2 22 2 22 2 22 2 22 . ' 2 . '' 4 . ''' 8 . 16 . x x x x ıv x y K e y K e y K e y K e y K e = = = = = 2 2 2 2 2 22 23 23 23 23 23 16 . 2.8 . 3.4 . 3. 3 20 3 20 3 . 20 .sin .cos ' .cos .sin '' .sin .cos ''' .cos .sin .sin .cos .sin .cos 2( .cos .sin ) 3( .sin .c x x x x x ıv K e K e K e...
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This note was uploaded on 12/04/2011 for the course TRADE 1056596 taught by Professor Ayladinç during the Spring '11 term at Istanbul Bilgi University.

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Eng math 501e_2011 - 1 Application 1(Non homogeneous high order dif equ Solve the following differential equation 2 2 2 3 3 4sin ıv x y y y x e x

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