Find the function of which is the solution of 36y"-48y'-48y=0 with initial conditions y1(0)=1. y1'(0)=0
1 answer:
Answer:

Step-by-step explanation:
Let,
Now, us simplify the given differential equation and write it in terms of D,

or, 
or, 
We have our auxiliary equation:

or, 
or, 
Therefore our solution is,

and, 
Applying the boundary conditions, we get,


Solving them gives us,

Hence,

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Step-by-step explanation:
= 1/2 (a + b) h let me know if this helps :)