Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
In each of the Exercises 1 to 10, show that the given differential equation is homogeneous and solve each of them. 10. `
(
1
+
e
x
y
)
d
x
+
e
x
y
(
1
−
x
y
)
d
y
=
0
\left(1+e^{\frac{x}{y}}\right) d x+e^{\frac{x}{y}}\left(1-\frac{x}{y}\right) d y=0
(
1
+
e
y
x
)
d
x
+
e
y
x
(
1
−
y
x
)
d
y
=
0
`
Browse the problem library