Answer with explanation:
The given differential equation is
y" -y'+y=2 sin 3x------(1)
Let, y'=z
y"=z'
Substituting the value of , y, y' and y" in equation (1)
z'-z+zx=2 sin 3 x
z'+z(x-1)=2 sin 3 x-----------(1)
This is a type of linear differential equation.
Integrating factor
Multiplying both sides of equation (1) by integrating factor and integrating we get
We are given
total number of friends =6
the cost of one admission is $9.50
now, we can find total cost for admission
total cost for admission= total number of friends*cost of one admission
total cost for admission=6*9.50
we are given
cost for one ride on the Ferris wheel is $1.50
now, we can find total cost for Ferris wheel ride
total cost for Ferris wheel ride= total number of friends*cost of one ride
total cost for Ferris wheel ride=6*1.50
now, we can find total cost
total cost =total cost for admission+total cost for Ferris wheel ride
total cost
now, we can solve it
total cost
total cost
total cost
so, the total cost is $66...........Answer