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:
Answer:
QUESTION:
How do we show that two lines are parallel when using slope? How do we show they are perpendicular when using slope?
ANSWER:
<u><em>How to determine if a line is a parallel perpendicular or neither?</em></u>
The slopes of parallel lines are equal, and the slopes of perpendicular lines are opposite reciprocals. This is a worked example of determining whether given lines are parallel or perpendicular.
Step-by-step explanation:
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The first car consumed 25 gallons of fuel while the second car consumed 30 gallons of fuel.
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the first car consumption and y represent the second car consumption, hence:
x + y = 55 (1)
Also:
15x + 20y = 975 (2)
From both equations:
x = 25, y = 30
The first car consumed 25 gallons of fuel while the second car consumed 30 gallons of fuel.
Find out more on equation at: brainly.com/question/2972832
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Since 0.68 is closest to 1, so the answer is
<span>A) 0.68</span>
Answer:
C)25
Step-by-step explanation:
5,10,15,20.... (Add 5)
next is 25
