Answer:
General Solution is 
and the particular solution is 
Step-by-step explanation:
This is a linear diffrential equation of type
..................(i)
here 
The solution of equation i is given by
we have ![e^{\int p(x)dx}=e^{\int \frac{-2}{x}dx}\\\\e^{\int \frac{-2}{x}dx}=e^{-2ln(x)}\\\\=e^{ln(x^{-2})}\\\\=\frac{1}{x^{2} } \\\\\because e^{ln(f(x))}=f(x)]\\\\Thus\\\\e^{\int p(x)dx}=\frac{1}{x^{2}}](https://tex.z-dn.net/?f=e%5E%7B%5Cint%20p%28x%29dx%7D%3De%5E%7B%5Cint%20%5Cfrac%7B-2%7D%7Bx%7Ddx%7D%5C%5C%5C%5Ce%5E%7B%5Cint%20%5Cfrac%7B-2%7D%7Bx%7Ddx%7D%3De%5E%7B-2ln%28x%29%7D%5C%5C%5C%5C%3De%5E%7Bln%28x%5E%7B-2%7D%29%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7Bx%5E%7B2%7D%20%7D%20%5C%5C%5C%5C%5Cbecause%20e%5E%7Bln%28f%28x%29%29%7D%3Df%28x%29%5D%5C%5C%5C%5CThus%5C%5C%5C%5Ce%5E%7B%5Cint%20p%28x%29dx%7D%3D%5Cfrac%7B1%7D%7Bx%5E%7B2%7D%7D)
Thus the solution becomes
This is the general solution now to find the particular solution we put value of x=2 for which y=6
we have 
Thus solving for c we get c = -1/2
Thus particular solution becomes
1/23 = 0.043
I hope this helps :)
Answer:
the answer is c
Step-by-step explanation:
First solve the 2 inequalities for x:-
x > 0 or x <= -5
The last choice is the correct one.
Answer:
C) Jo's drink will have a stronger orange taste
Step-by-step explanation:
tropical punch calls for 2 liters of pineapple juice and 3 liters of orange juice.
total is 2+3 = 5 liters
pineapple = 2/5
orange = 3/5
Jo creates a drink by mixing 3 liters of pineapple juice with 4
total = 7
pineapple = 3/7
orange = 4/7
Get a common denominator to compare
5 and 7 = 35
tropical punch
pineapple = 2/5 *7/7 = 14/35
orange = 3/5*7/7 = 21/35
Jo
pineapple = 3/7*5/5 = 15/35
orange = 4/7*5/5 = 28/35
Jo will have both a stronger pineapple and orange taste than the tropical drink and the orange will be stronger than the pineapple in her drink
