#### transgalactic

##### Banned

[latex]

y(t)=e^{-t}x(t)

[/latex]

i need to prove lenearity by constant

and by addition

[latex]

y(t_1)=e^{-t_1}x(t_1)

[/latex]

[latex]

y(t_2)=e^{-t_2}x(t_2)

[/latex]

[latex]

y(t_1)+y(t_2)=e^{-t_1}x(t_1)+e^{-t_2}x(t+2)

[/latex]

[latex]y(t_1+t_2)=e^{-t_1-t_2}x(t_1+t_2)[/latex]

i dont know if [latex]y(t_1+t_2)= y(t_1)+y(t_2)[/latex]

?

y(t)=e^{-t}x(t)

[/latex]

i need to prove lenearity by constant

and by addition

[latex]

y(t_1)=e^{-t_1}x(t_1)

[/latex]

[latex]

y(t_2)=e^{-t_2}x(t_2)

[/latex]

[latex]

y(t_1)+y(t_2)=e^{-t_1}x(t_1)+e^{-t_2}x(t+2)

[/latex]

[latex]y(t_1+t_2)=e^{-t_1-t_2}x(t_1+t_2)[/latex]

i dont know if [latex]y(t_1+t_2)= y(t_1)+y(t_2)[/latex]

?

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