Write a differential equation that fits the physical description. The velocityvelocity of a particle movingof a particle moving
along a straight linealong a straight line at time t is proportional to the fourthfourth power of its position xposition x.
1 answer:
Answer:
The differential equation is
dx/dt - Kx^4 = 0
Step-by-step explanation:
Let V represent the velocity of the particle moving along a straight line at time t.
We have the position to be x.
Then we have that
V is proportional to x^4
=> V = Kx^4
Where K is constant of proportionality.
Velocity is the derivative of the position vector with respect to time t, so we can write
V = dx/dt
And then
dx/dt = Kx^4
So that
dx/dt - Kx^4 = 0
This is the differential equation
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