Answer: The required solution is 
Step-by-step explanation:
We are given to solve the following differential equation :
where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.
From equation (i), we have
Integrating both sides, we get
![\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]](https://tex.z-dn.net/?f=%5Cint%5Cdfrac%7Bdy%7D%7By%7D%3D%5Cint%20kdt%5C%5C%5C%5C%5CRightarrow%20%5Clog%20y%3Dkt%2Bc~~~~~~%5B%5Ctextup%7Bc%20is%20a%20constant%20of%20integration%7D%5D%5C%5C%5C%5C%5CRightarrow%20y%3De%5E%7Bkt%2Bc%7D%5C%5C%5C%5C%5CRightarrow%20y%3Dae%5E%7Bkt%7D~~~~%5B%5Ctextup%7Bwhere%20%7Da%3De%5Ec%5Ctextup%7B%20is%20another%20constant%7D%5D)
Also, the conditions are
and
Thus, the required solution is
Answer:
x = 2
Step-by-step explanation:
How to find "x"
3x = 4 + 2(3 - x) *Remove the parentheses*
3x = 4 + 6 - 2x *Calculate*
3x = 10 - 2x *Move the variable to the left*
3x + 2x = 10 *Collect the terms*
5x = 10 *Divide both sides*
x = 2
I hope the helped!!!
5+7-4=6
6-4=2
I’ve created two equations with no solution
Answer:
24 hours
Step-by-step explanation:
hoped this helped
Answer:
Step-by-step explanation:
V = L*w*h
L = 3
w = 2
h = ?
V = 24
24 = 2*3 * h Combine the right
24 = 6* h Divide both sides by 6
24/6 = 6h/6
4 = h
