Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
e
x
+
e
y
=
e
x
+
y
e^x + e^y = e^{x+y}
e
x
+
e
y
=
e
x
+
y
, prove that
d
y
d
x
=
−
e
y
−
x
\frac{dy}{dx} = -e^{y-x}
d
x
d
y
=
−
e
y
−
x
.
Browse the problem library