Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The solution to the differential equation
y
ln
y
+
x
y
′
=
0
y \ln y + xy' = 0
y
ln
y
+
x
y
′
=
0
, where
y
(
1
)
=
e
y(1) = e
y
(
1
)
=
e
, is - (A)
x
(
ln
y
)
=
1
x(\ln y) = 1
x
(
ln
y
)
=
1
(B)
x
y
(
ln
y
)
=
1
xy(\ln y) = 1
x
y
(
ln
y
)
=
1
(C)
(
ln
y
)
2
=
2
(\ln y)^2 = 2
(
ln
y
)
2
=
2
(D)
ln
y
+
(
x
2
2
)
y
=
1
\ln y + \left(\frac{x^2}{2}\right)y = 1
ln
y
+
(
2
x
2
)
y
=
1
Browse the problem library