8 questions math

Find the function satisfying the differential equation

and the condition . 

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Find the function satisfying the differential equation

and . 

 

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Solve the following initial value problem: 

with  
 . 

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Solve the following initial value problem: 

with  

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Solve the initial value problem 

for  with  

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Solve the initial value problem

with . 
 

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Find the particular solution of the differential equation

satisfying the initial condition . 
Answer: = .

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Solve the initial value problem 

with  
 

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