Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Suppose
d
x
d
t
=
t
2
−
1
\dfrac{dx}{dt}=t^{2}-1
d
t
d
x
=
t
2
−
1
and
d
y
d
t
=
2
x
(
t
)
\dfrac{dy}{dt}=2x(t)
d
t
d
y
=
2
x
(
t
)
. At
t
=
0
t=0
t
=
0
the particle is at
(
1
,
3
)
(1,3)
(
1
,
3
)
. Determine
y
(
t
)
y(t)
y
(
t
)
.
Browse the problem library