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Answered: - Calculus 2, Second Order Linear ODEs


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Please help to do my assignment in the file attached. I tried to do but stuck in the middle. Thanks in advance.


Calculus 2, Second Order Linear ODEs (non-homogenous

 

equations)

 

Tasks:

 

1. Determine the general solution of the following differential

 

equation:

 

''

 


 

'

 


 

2

 


 

2 y +3 y + y =t +3 sin t

 


 

2. Determine the general solution of the following differential

 

equation:

 

''

 


 

y + y=tan t , 0<t < ? /2

 


 

3. Determine the initial value problem solution of the following

 

differential equation:

 

y ' ' ?6 y+ 9 y=3 te 2 t , y ( 0 )=1 dan y ' (0)=0

 


 

 


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