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JEE Main2012MathematicsDifferential EquationsActual

Statement 1: The degrees of the differential equations d y d x +y^2=x and d^2 y d x^2 +y= x are equal. Statement 2: The degree of a differential equation, when it is a polynomial equation in derivatives, is the highest positive integral power of the highest order derivative involved in the differential equation, otherwise degree is not defined.

Options

  1. AStatement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.
  2. BStatement 1 is false, Statement 2 is true.
  3. CStatement 1 is true, Statement 2 is false.
  4. DStatement 1 is true, Statement 2 is true; Statement 2 is a correct explanation of Statement 1.

Correct answer

D. Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation of Statement 1.

Step-by-step solution

Statement-1 Given differential equations are d y d x +y^2=x and d^2 y d x^2 +y= x Their degrees are 1 . Both have equal degree. Also, Statement -2 is the correct explanation for Statement - 1.

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