The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4
To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
![y= \sqrt[5]{Bx+C}](https://tex.z-dn.net/?f=y%3D%20%5Csqrt%5B5%5D%7BBx%2BC%7D%20)
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Answer:
t=6
Step-by-step explanation:
Total number of $1 bills=7
Total number of $5 bills=8
Further explanation:
Given
Let x be the number of $1 bills
and
y be the number of $5 bills
Then according to the given statements
x+y=15
x+5y=47
From first equation:

Putting x=15-y in second equation

Putting y=8 in first equation

Hence,
Total number of $1 bills=7
Total number of $5 bills=8
Keywords: Linear equations, Substitution method
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