- #1
coldturkey
- 25
- 0
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Let V be the solutions to the differential equation:
[itex]
a_{1}y' + a_{0} = x^2 + e^x
[/itex]
Decide using the properties of pointwise addition and scalar multiplication if V is a vector space or not.
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Ok I am having real trouble with this question. I can prove is something is a vector space aslong as I know what I am trying to proove.
To solve this question do I need to find or make up y? Or am I just assuming V = (a0, a1) and need to prove something like
[tex]
(a1 + b1)y' + (a0+b0) = x^2 + e^x + b1y' + b0
[/tex]
Could someone please help me get started? Thanks
Let V be the solutions to the differential equation:
[itex]
a_{1}y' + a_{0} = x^2 + e^x
[/itex]
Decide using the properties of pointwise addition and scalar multiplication if V is a vector space or not.
---------------------
Ok I am having real trouble with this question. I can prove is something is a vector space aslong as I know what I am trying to proove.
To solve this question do I need to find or make up y? Or am I just assuming V = (a0, a1) and need to prove something like
[tex]
(a1 + b1)y' + (a0+b0) = x^2 + e^x + b1y' + b0
[/tex]
Could someone please help me get started? Thanks