The differential equation has as a solution. x^2 d^2y/dx^2- 7x dy/dx + 16y = 0
Applying reduction order we set y^2 = ux^4. Then (using the prime notation for the derivatives). So, plugging y^2 into the left side of the differential equation, and reducing, we get
x^2y"^2 - 7xy'^2 + 16y^2 =
The reduced form has a common factor of x^5 which we can divide out of the equation so that we have xu" + u' = 0. Since this equation does not have any u terms in it we can make the substitution w = u' giving us the first order linear equation xw' + w = 0. This equation has integrating factor for x > 0. If we use a as the constant of integration, the solution to this equation is w =. Integrating to get u, and using b as our second constant of integration we have u = 0. Finally y^2 =and the general solution is.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

answer: your correct answer is b. d.

step-by-step explanation:

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