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10 December, 04:51

If dy/dx=4y and y=4 when x=0, then y=. A) 4e^4x. B) e^4x. C) 3+e^4x. D) 4+e^4x. e) 2x^2+4

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  1. 10 December, 04:54
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    Hello,

    dy/dx=4==>dy/y=4dx==>ln (y) = 4x+C

    ==>y=k*e^ (4x)

    if x=0 y=4==>4=k*e^ (4*0) = = >k=4

    ==>y=4*e^ (4x)

    Answer A (with parenthesis!)
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