Is that just the question? I can help you out but it doesn’t make any sense.
For this case we have the following difference equation:
![dy / dx = 3xy ](https://tex.z-dn.net/?f=%20dy%20%2F%20dx%20%3D%203xy%0A)
Applying separable variables we have:
![dy / y = 3xdx ](https://tex.z-dn.net/?f=%20dy%20%2F%20y%20%3D%203xdx%0A)
Integrating both sides we have:
![ln (y) = (3/2) x ^ 2 + C ](https://tex.z-dn.net/?f=%20ln%20%28y%29%20%3D%20%283%2F2%29%20x%20%5E%202%20%2B%20C%0A)
applying exponential to both sides:
![exp (ln (y)) = exp ((3/2) x ^ 2 + C) y = C * exp ((3/2) x ^ 2)](https://tex.z-dn.net/?f=%20exp%20%28ln%20%28y%29%29%20%3D%20exp%20%28%283%2F2%29%20x%20%5E%202%20%2B%20C%29%0A%0A%20y%20%3D%20C%20%2A%20exp%20%28%283%2F2%29%20x%20%5E%202%29)
For y (1) = 1 we have:
![C = 1 / (exp ((3/2) * 1 ^ 2)) C = 0.2](https://tex.z-dn.net/?f=C%20%3D%201%20%2F%20%28exp%20%28%283%2F2%29%20%2A%201%20%5E%202%29%29%0A%0AC%20%3D%200.2)
Thus, the particular solution is:
![y = 0.2 * exp ((3/2) x ^ 2) ](https://tex.z-dn.net/?f=%20y%20%3D%200.2%20%2A%20exp%20%28%283%2F2%29%20x%20%5E%202%29%0A)
Whose domain is all real.
Answer: y = 0.2 * exp ((3/2) x ^ 2) Domain: all real numbers
Answer:
t= -3.7
Step-by-step explanation:
1. 5( t+3)= -3.5
2. 5t+15= -3.5
3. 5t= -18.5
4. t= -3.7
Answer:
$10.17
Step-by-step explanation:
9 x .13 = 1.17
9 + 1.17 = 10.17
Answer:
7
Step-by-step explanation:
form a proportion
12/2=42/x
cross multiply
12x=84
x=7