What is -5(4x-2) simplify
2 answers:
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Given an ODE 
with initial condition 
, the general process is to write the ODE as an integral equation,
By setting
for all 
, we get the following recurrence for 
.
From this we work towards finding a pattern for
so that we can find a solution of the form 
.
Write this as the integral equation,
First step:
Second step:
Third step:
Fourth step:
You should already start seeing a pattern. Recall that
Multiplying this by 2 gives
which matches the solution we have for
except for that first term. So subtracting that, we find a solution of
with a domain of
.
Hopefully this gives some insight on how to approach the other two problems.
By setting
From this we work towards finding a pattern for
Write this as the integral equation,
First step:
Second step:
Third step:
Fourth step:
You should already start seeing a pattern. Recall that
Multiplying this by 2 gives
which matches the solution we have for
with a domain of
Hopefully this gives some insight on how to approach the other two problems.