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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 im having real trouble with this question. I can prove is something is a vector space aslong as I know what im 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