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:
see explanation
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
The exterior angle to interior angle is
exterior angle = 180° - 110° = 70°
Sum the exterior angles and equate to 360
x + 2x + 70 + 2x - 50 + x + 40 = 360 , that is
6x + 60 = 360 ( subtract 60 from both sides )
6x = 300 ( divide both sides by 6 )
x = 50
Then measure of exterior angles is
x = 50°
2x = 2 × 50 = 100°
x + 40 = 50 + 40 = 90°
2x - 50 = 2(50) - 50 = 100 - 50 = 50°
Answer:
2x
Step-by-step explanation:
7x= 7*x
5x=5*x
Subtract.
7-5=2
2*x=2x
So 2x is the answer.
Conversion: 5 3/8 = 5 · 8 + 3
8
= 43
8
Conversion: 3 7/8 = 3 · 8 + 7
8
= 31
8
Subtract: 43
8
- 31
8
= 43 - 31
8
= 12
8
= 3
2
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