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AP EAMCET201823 Apr 2018Evening ShiftMathematicsDifferential EquationsActual

The order and the degree of the differential equation y=p x+ a^2 p^2+b^2 , ( where p= d y d x ) are respectively .

Options

  1. A2,1
  2. B1,2
  3. C1,1
  4. D2,2

Correct answer

B. 1,2

Step-by-step solution

Given differential equation, aligned y & =p x+ a^2 p^2+b^2 , [ where, p= d y d x ] a^2 p^2+b^2 & =(y-p x) a^2 p^2+b^2 & =y^2+p^2 x^2-2 x y p (x^2-a^2 ) p^2 & -2 x y p+y^2-b^2=0 aligned So, order and degree of the given differential equation is 1 and 2 respectively.

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