Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
d
y
d
x
=
x
y
x
2
+
y
2
\frac{dy}{dx} = \frac{xy}{x^2 + y^2}
d
x
d
y
=
x
2
+
y
2
x
y
;
y
(
1
)
=
1
y(1) = 1
y
(
1
)
=
1
; then a value of
x
x
x
satisfying
y
(
x
)
=
e
y(x) = e
y
(
x
)
=
e
is : [JEE-MAIN ONLINE-2020] (1)
2
e
\sqrt{2}e
2
e
(2)
e
2
\frac{e}{\sqrt{2}}
2
e
(3)
1
2
3
e
\frac{1}{2}\sqrt{3}e
2
1
3
e
(4)
3
e
\sqrt{3}e
3
e
Browse the problem library