Test2A_Fall06_Key - Test 2A Fall 06 KEY 1 y 2 y 3 y = e 3 x...

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Test 2A Fall 06 KEY 1. x e y y y 3 3 2 = Solve the reduced equation x x e C e C y r r r r r y y y + = = = + = = 2 3 1 2 1 , 3 0 ) 1 )( 3 ( 0 3 2 0 3 2 Now solve for the particular solution x x x x x x Axe Ae Ae z Axe Ae z Axe z 3 3 3 3 3 3 9 3 3 3 + + = + = = Plug in the z’s in to your differential equation 0 0 0 3 6 9 4 / 1 1 4 1 2 3 3 3 3 = = = = = + A A A xe A A A A A e x x Plug in you’re a into z x xe z 3 4 1 = 2. 1 ) 2 cos( 4 2 4 4 2 + = + x e y y y x Solve the reduce equation { } x x xe e r r r r r y y y 2 2 2 , 2 , 2 0 ) 2 )( 2 ( 0 4 4 0 4 4 = = = + = + Find z. The D at the end can be any letter you want it to be, so don’t be confused when they put another letter in the test. Also it can have different sign but that doesn’t matter. D x C x B e Ax z x + + + = ) 2 sin( ) 2 cos( 2 2 3. 9 2 4 ) ( 2 2 + + = s s s s F Break it up into fractions
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