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A student writes the equation d²s/dt² + 4(ds/dt)⁵ = 7t… | StemPy Lab
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A student writes the equation d²s/dt² + 4(ds/dt)⁵ = 7t for the position s of a trolley at time t. What are the order and the degree of the equation?
Mathematics
Easy
High School (11–12)
Functions and Calculus › Differential Equations
AP
A-Level
IB
Created by
StemPy Lab
A student writes the equation
d
2
s
d
t
2
+
4
(
d
s
d
t
)
5
=
7
t
\dfrac{d^2s}{dt^2} + 4\left(\dfrac{ds}{dt}\right)^5 = 7t
d
t
2
d
2
s
+
4
(
d
t
d
s
)
5
=
7
t
for the position
s
s
s
of a trolley at time
t
t
t
. What are the order and the degree of the equation?
Order
1
1
1
, degree
5
5
5
Order
2
2
2
, degree
1
1
1
Order
5
5
5
, degree
2
2
2
Order
2
2
2
, degree
5
5
5
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