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If d y d x =( n 5) y with y(0)= 5 , then what is y(1) equal to?

Options

  1. A0
  2. B5
  3. C2 5
  4. D5 5

Correct answer

D. 5 5

Step-by-step solution

aligned & d y d x =( 5) y 1 y d y=( 5) d x & y=( 5) x+c & put x=0, y= 5 & ( 5)=0+c c= ( 5) & y=( 5) x+ ( 5) & put x=1 & n y= 5+ ( 5)= (5 5) & y=5 5 aligned

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