The general solution of the differential equation (e^ x +e^ -x ) d y d x = (e^ x -e^ -x )…
Mathematics · JEE Main · NTA Exams — Differential Equations
The general solution of the differential equation \(\left(e^{x}+e^{-x}\right) \frac{d y}{d x}=\left(e^{x}-e^{-x}\right)\) is
- y = log |ex + e–x| + c
- y = log |ex – e–x| – c
- y = – log |ex – e–x| + c
- none of these
Answer
(A) y = log |e x + e –x | + c
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- 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 d x+y d y x d y-y d x = 1- (x^ 2 +y^ 2 ) x^ 2 +y^ 2 is,
- The solution of y=x ( d y d x + ( d y d x )^ 3 ) , where p= d y d x is given by
- Consider the differential equation, y^ 2 d x+ (x- 1 y ) d y=0 , If value of y is 1 when x = 1, then the value…
- The solution of the differential equation e^ -x (y+1) d y+ [ ^ 2 x- 2 x ] y d y=0 is,
- The solution of d y d x = e^ x ( ^ 2 x+ 2 x ) y(2 y+1) is-
- The equation of a curve passing through (2, 7 2 ) and having gradient 1- 1 x^ 2 at (x, y) is
- The general solution of the differential equation [2 x y -x] dy + y dx = 0 is
More Differential Equations questions · Browse all practice questions