Answer:
211
Step-by-step explanation:
Part=percentage*whole
50=0.40w
Divide each sde by 0.40 and you get 125. 50 is 40% of 125.
Answer: x = 28
Step-by-step explanation:
3x+10+3x+2=180
6x+12=180
6x=168
x = 28
Answer:
580.75
Step-by-step explanation: 11.50 * 40 =460
11.50 * 1.5 =`17.25*7= 120.75
120.75+460=580.75
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.