1
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

The displacement of a particle at time t is x, where x = t4 $$-$$ kt3. If the velocity of the particle at time t = 2 is minimum, then

A
k = 4
B
k = $$-$$4
C
k = 8
D
k = $$-$$8
2
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The general solution of the differential equation $${{{d^2}y} \over {d{x^2}}} + 8{{dy} \over {dx}} + 16y = 0$$ is

A
$$(A + Bx){e^{5x}}$$
B
$$(A + Bx){e^{ - 4x}}$$
C
$$(A + B{x^2}){e^{4x}}$$
D
$$(A + B{x^4}){e^{4x}}$$
3
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The degree and order of the differential equation $$y = x{\left( {{{dy} \over {dx}}} \right)^2} + {\left( {{{dx} \over {dy}}} \right)^2}$$ are respectively

A
1, 1
B
2, 1
C
4, 1
D
1, 4
4
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

he general solution of the differential equation $${\log _e}\left( {{{dy} \over {dx}}} \right) = x + y$$ is

A
$${e^x} + {e^{ - y}} = C$$
B
$${e^x} + {e^y} = C$$
C
$${e^y} + {e^{ - x}} = C$$
D
$${e^{ - x}} + {e^{ - y}} = C$$
WB JEE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12