Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
JEE Advanced 2017 Paper 2 Mathematics Q3
Mathematics
Problem
If
y
=
y
(
x
)
y=y(x)
y
=
y
(
x
)
satisfies the differential equation
8
x
(
9
+
x
)
d
y
=
(
4
+
9
+
x
)
−
1
d
x
8\sqrt{x}\left(\sqrt{9+\sqrt{x}}\right)\,dy=\left(\sqrt{4+\sqrt{9+\sqrt{x}}}\right)^{-1}\,dx
8
x
(
9
+
x
)
d
y
=
(
4
+
9
+
x
)
−
1
d
x
,
x
>
0
x>0
x
>
0
, and
y
(
0
)
=
7
y(0)=\sqrt7
y
(
0
)
=
7
, then
y
(
256
)
=
y(256)=
y
(
256
)
=
Browse the problem library