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If d y d x =y+3>0 and y(0)=2 , then y( 2) is equal to

Options

  1. A5
  2. B13
  3. C-2
  4. D7

Correct answer

D. 7

Step-by-step solution

d y d x =y+3 d y y+3 =d x (y+3)=x+cx=0 y=2 5=0+cc= 5 (y+3)=x+ 5y+3=e^ x+ 5 y+3=e^ 2+ 5 y+3=10 y=7

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