The answer is D) (x2 − 5)(x2 + 5)(x4 + 25)
Answer:
A.
B.Therefore the solution is defined on the interval:
6≤ x ≤ +∞
Step-by-step explanation:
Given differential equation is



Integrating both sides:

........(1)
Given y(0)= 6
it means y=0 when x=6
Putting x=6 and y=0 in the equation (1)


Equation (1) become:


Therefore 
(B)
The quantity under root must greater than or equal to zero.
Therefore,




![\Rightarrow \sqrt[5]{x^5} \geq \sqrt[5]{6^5}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Csqrt%5B5%5D%7Bx%5E5%7D%20%5Cgeq%20%5Csqrt%5B5%5D%7B6%5E5%7D)

When x≥0 then the value of
is real other wise the value of
is imaginary.
Therefore the solution is defined on the interval:
6≤ x ≤ +∞
The cattle train
speed - 36.5 km/h
time - x h
the passenger train
speed - 29.2 km/h
time - (2.4+x) h
The cattle train caught up to the passenger train so the distance they travelled is the same.
Distance is speed times time.

The passenger train travelled for
12 hours before the cattle train caught up.
Replace,
x = y
Or
x = f(x)
then us stay:
x = 5y + 12
Isolate 5y
5y = x - 12
Dividing both the sides by 5
y = x/5 - 12/5
Then, replace y = f^-(x)
f^-(x) = x/5 - 12/5
Hope this helps