Answer:
(D^2 + 9)y = cos 2x….(1). The corresponding homogeneous equation is (D^2 +9)y= 0,…(2), whose auxiliary equation is m^2 + 9 = 0, which has (+/-)3i as roots. The general solution of (2) is y = A.cos(3x) + B.sin(3x). Now to get a general solution of (1) we have just to add to the above, a particular solution of (1). One such solution is [cos(2x)]/[-2^2 +9] = (1/5).cos 2x. Hence a general solution of the given equation is given by y = A.cos(3x) + B.sin(3x) + (1/5)cos(2x), where A and B are arbitrary constants. The above solution incorporates all the solutions of the given equation.
Step-by-step explanation:
The system r+l = 46 and 15r + 9l = 396 can be used to determine the number of raspberries boxes and lemon seed boxes sold.
Step-by-step explanation:
Given,
Cost per box of raspberry = $15
Cost per box of lemon seeds = $9
Total boxes sold = 46
Total revenue generated = $396
Let,
r represent the number of raspberries sold
l represent the number of lemon seeds sold
According to given statement;
r+l = 46 Eqn 1
15r + 9l = 396 Eqn 2
The system r+l = 46 and 15r + 9l = 396 can be used to determine the number of raspberries boxes and lemon seed boxes sold.
Answer:
The answer is 40 miles!
Step-by-step explanation:
1 inch= 10 miles
2 inches= 20 miles
3 inches= 30 miles
4 inches= 40 miles
Just count by tens
