STATEMENT - 1: The order of the differential equation whose general solution is y=c_ 1 2…
Mathematics · JEE Main · NTA Exams — Differential Equations
STATEMENT - 1: The order of the differential equation whose general solution is \(y=c_{1} \cos 2 x+c_{2} \sin ^{2} x+c_{3} \cos ^{2} x+c_{4} e^{2 x}+c_{5} e^{2 x+c_{6}}\) is \(3\).
STATEMENT - 2: Total number of arbitrary parameters in the given general solution in the Statement - 1 is 3.
- Both the statements are true and Statement - 2 is the correct explanation of Statement - 1
- Both the statements are true and Statement - 2 is not the correct explanation of Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 is false and Statement - 2 is true
Answer
(D) Statement - 1 is false and Statement - 2 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 general solution of the differential equation, 2 x ( d y d x - x )-y=0, is:
- The solution of the differential equation y dx + (x + x 2 y) dy = 0 is
- The solution of the equation x^ 3 d y d x +4 x^ 2 tan y = e x sec y satisfying y (1) = 0, is
- Solve the differential equation (x^ 2 ^ 3 y-y^ 2 x ) d x+ (x^ 3 y ^ 2 y-2 y x ) d y=0 .
- The solution of the differential equation (x+y)^ 2 d y d x =a^ 2 is,
- The solution of the differential equation d y d x - y+3 x _ e (y+3 x) +3=0 is: (where C is a constant of…
- The general solution of the differential equation y [x^ 2 y+e^ x ] d x-e^ x d y=0 is,
- The solution of the differential equation d y d x =1+x+y+x y is,
More Differential Equations questions · Browse all practice questions