Answer:
Step-by-step explanation:
If you travel at 8 miles per hour, where t is the number of hours, then, using the formula (r being the rate, in this case 8), the equation becomes .
Hope this helped!
X=1±i√19 is the answer -sorry if it looks confusing..-
The question is:
Check whether the function:
y = [cos(2x)]/x
is a solution of
xy' + y = -2sin(2x)
with the initial condition y(π/4) = 0
Answer:
To check if the function y = [cos(2x)]/x is a solution of the differential equation xy' + y = -2sin(2x), we need to substitute the value of y and the value of the derivative of y on the left hand side of the differential equation and see if we obtain the right hand side of the equation.
Let us do that.
y = [cos(2x)]/x
y' = (-1/x²) [cos(2x)] - (2/x) [sin(2x)]
Now,
xy' + y = x{(-1/x²) [cos(2x)] - (2/x) [sin(2x)]} + ([cos(2x)]/x
= (-1/x)cos(2x) - 2sin(2x) + (1/x)cos(2x)
= -2sin(2x)
Which is the right hand side of the differential equation.
Hence, y is a solution to the differential equation.
George solved problems at the rate of 24 problems per 10 min is greater than the Urban rate which is 21 problems per 10 min
Answer:
$ 60.50
Step-by-step explanation:
A = P + I where
P (principal) = $ 50.00
I (interest) = $ 10.50