1. Tardigrade
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  3. Mathematics
  4. Consider the differential equation (x y-1) (d y/d x)+y2=0 Statement-I: The solution of the equation is xy = log y+ c. because Statement-II: The given differential equation can be expressed as ( dx / dy )+ Px = Q, whose integrating factor is ℓ ny.

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Q. Consider the differential equation $(x y-1) \frac{d y}{d x}+y^2=0$
Statement-I : The solution of the equation is $xy =\log y+ c$. because
Statement-II : The given differential equation can be expressed as $\frac{ dx }{ dy }+ Px = Q$, whose integrating factor is $\ell$ ny.

Differential Equations

Solution:

Correct answer is (c) Statement-I is true, Statement-II is false.