Verify: x × ( y + z) = ( x × y ) +(x × z),if x= - 3/2 , y = 4/3 and z = -1
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Answer:
3y ' + 5y
= 3(-2e^(-2x)) + 5e^(-2x) (Just differentiate y=e^(-2x) to get y'=-2e^(-2x) then substitute.)
= -6e^(-2x) + 5e^(-2x)
= -e^(-2x) as required.
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