Answer:
15
Step-by-step explanation:
var a = 3
then a= 3
var b = 5
then b = 5
a ( a new variable ) = a * b = 3 * 5
Answer:
Below.
Step-by-step explanation:
32 = 2*2*2*2*2
48 = 2*2*2*2*3
So The GCF = 2*2*2*2 = 16.
LCM = 2*2*2*2*2*3 = 96
Answer:
1 is the answer because 4^10=1048576 and you have that on the top and the bottom of the problem then 7^0=1 so therefore 1048576/1048576=1
Step-by-step explanation:
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.
