Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
y
=
log
(
x
+
x
2
+
a
2
)
y = \log(x + \sqrt{x^2 + a^2})
y
=
lo
g
(
x
+
x
2
+
a
2
)
, then prove that
(
x
2
+
a
2
)
d
2
y
d
x
2
+
x
d
y
d
x
=
0
(x^2 + a^2) \frac{d^2 y}{dx^2} + x \frac{dy}{dx} = 0
(
x
2
+
a
2
)
d
x
2
d
2
y
+
x
d
x
d
y
=
0
.
Browse the problem library