-b.2.1.12 Find the general solution 2y'+y=3t^2

  • #1
karush
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Find the general solution

Rewrite

So
 
Last edited:
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  • #2
Yep, good so far! How do you continue?
 
  • #3
Find the general solution

Rewrite

So

then multiply thru

which is a product





if this is ok then integrate both sides and isolate y' add +C
hard to see if any typos

the integral on this didn't look to good
 
Last edited:
  • #4




you can use integration by parts on the RHS: ,
or tabular integration

you should end up with ...

 
  • #5
That looks more sensible...

Ummm where did the 2 go?
 
  • #6
karush said:
That looks more sensible...

Ummm where did the 2 go?

do the integration and you’ll find out ...
 
  • #7
Ok it canceled out
 

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