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MHT CET202122 Sep 2021Evening ShiftMathematicsDifferential EquationsActual

The degree of the differential equation whose solution is y^2=8 a(x+a) , is

Options

  1. A2
  2. B1
  3. C4
  4. D3

Correct answer

A. 2

Step-by-step solution

We have y^2=8 a x+8 a^2 Differentiating w.r.t. x , we get 2 y d y d x =8 a a= ( y 4 ) d y d x Substituting value of ' a ' in eq. (1), we get aligned & y^2=8 ( y 4 ) d y d x (x)+8 [ ( y 4 ) ( d y d x ) ]^2=2 x y d y d x + ( y^2 2 ) ( d y d x )^2 & 2 y^2=4 x y ( d y d x )+y^2 ( d y d x )^2 aligned Hence order =1 , degree =2

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