Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Show that the equation,
y
=
a
sin
(
ω
t
−
k
x
)
y = a \sin (\omega t - kx)
y
=
a
sin
(
ω
t
−
k
x
)
satisfies the wave equation
∂
2
y
∂
t
2
=
v
2
∂
2
y
∂
x
2
\frac{\partial^2 y}{\partial t^2} = v^2 \frac{\partial^2 y}{\partial x^2}
∂
t
2
∂
2
y
=
v
2
∂
x
2
∂
2
y
. Find speed of wave and the direction in which it is travelling.
Browse the problem library