1
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1

The solution of the differential equation

$ (x+1) \frac{d y}{d x}-y=e^{3 x}(x+1)^{2} $ is

A
$ y=(x+1) e^{3 x}+C $
B
$ 3 y=(x+1)+e^{3 x}+C $
C
$ \frac{3 y}{x+1}=e^{3 x}+C $
D
$ y e^{-3 x}=3(x+1)+C $
2
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
Number of real solution of $ \sqrt{5-\log _{2}|x|} $ $ =3-\log _{2}|x| $ is equal to
A
1
B
2
C
3
D
4
3
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
The value of definite integral $ \int_{0}^{\pi / 2} \log (\tan x) d x $ is .
A
0
B
$ \frac{\pi}{4} $
C
$ \frac{\pi}{2} $
D
$ \pi $
4
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
If the number of available constraints is 3 and the number of parameters to be optimise is 4 , then
A
the objective function can be optimised
B
the constraint are short in number
C
the solution is problem oriented
D
None of the above
EXAM MAP