STATEMENT - 1 (Assertion): The differential equation of the form y f(x y) d x+x (x y) d…
Mathematics · JEE Main · NTA Exams — Differential Equations
STATEMENT - 1 (Assertion): The differential equation of the form \(y \cdot f(x y) d x+x \cdot \Phi(x y) d y=0\) can be converted to homogeneous form by substituting \(x y=v\)
STATEMENT - 2 (Reason): All homogeneous differential equations of first order and first degree can be solved by using substitution \(y=v x\)
- Both Assertion and Reason are individually true and Reason is the correct explanation of Assertion
- Both Assertion and Reason are individually true but R is not the correct explanation of Assertion
- Assertion is true but Reason is false
- Assertion is false but Reason is true
Answer
(D) Assertion is false but Reason is true
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