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MHT CET202312 May 2023Morning ShiftMathematicsDifferential EquationsActual

If d y ~d x =y+3 and y(0)=2 , then y( 2)=

Options

  1. A5
  2. B7
  3. C13
  4. D-2

Correct answer

B. 7

Step-by-step solution

aligned & d y ~d x =y+3 & d y y+3 = d x aligned Integrating on both sides, we get array ll & d y y+3 = d x+ c & (y+3)=x+ c & y=2 when x=0 & (2+3)=0+ c c = 5 & (y+3)=x+ 5 & y+3=5 e ^x y=5 e ^x-3 & & y( 2)=5 e ^ 2 -3=10-3 & =7 array

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