STATEMENT - 1 (Assertion): The degree of the differential equation d^ 2 y d x^ 2 + d y d…
Mathematics · JEE Main · NTA Exams — Differential Equations
STATEMENT - 1 (Assertion): The degree of the differential equation
\(\frac{d^{2} y}{d x^{2}}+\frac{d y}{d x}=\ln \left(\frac{d^{2} y}{d x^{2}}\right)\) is 2.
STATEMENT - 2 (Reason): The degree of a differential equation, which can be written
as a polynomial in the derivatives, is the degree of the highest order derivative occurring in it.
- Both Assertion and Reason are individually true and Reason is the correct explanation of Assertion
- Both Assertion and Reason are individually true but Reason 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
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The solution of the differential equation (1+e^ x y ) d x+e^ x y (1- x y ) d y=0 is :
- The general solution of y^ 2 d x+ (x^ 2 -x y+y^ 2 ) d y=0 is,
- The solution of the differential equation (x+y)^ 2 d y d x =a^ 2 is,
- If x d y d x -y x=6 x, (0<x< 2 ) and v ( 3 )=0 , then y ( 6 ) is equal to:
- The solution of differential equation d y d x = (x+y)+ (x+y) is,
- Let a solution y=y(x) of the differential equation x x^ 2 -1 d y-y y^ 2 -1 d x=0 satisfy y(2)= 2 3 …
- A solution of the differential equation ( d y d x )^ 2 -x d y d x +y=0 is,
- The Solution of the equation (1– x 2 ) dy + xy dx = xy 2 dx is-
More Differential Equations questions · Browse all practice questions