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. 7. `
{
x
cos
(
y
x
)
+
y
sin
(
y
x
)
}
y
d
x
=
{
y
sin
(
y
x
)
−
x
cos
(
y
x
)
}
x
d
y
\left\{x \cos \left(\frac{y}{x}\right)+y \sin \left(\frac{y}{x}\right)\right\} y d x=\left\{y \sin \left(\frac{y}{x}\right)-x \cos \left(\frac{y}{x}\right)\right\} x d y
{
x
cos
(
x
y
)
+
y
sin
(
x
y
)
}
y
d
x
=
{
y
sin
(
x
y
)
−
x
cos
(
x
y
)
}
x
d
y
`
Browse the problem library