Answer:
The complete solution is
Step-by-step explanation:
Given differential equation is
3y"- 8y' - 3y =4
The trial solution is
Differentiating with respect to x
Again differentiating with respect to x
Putting the value of y, y' and y'' in left side of the differential equation
The auxiliary equation is
The complementary function is
y''= D², y' = D
The given differential equation is
(3D²-8D-3D)y =4
⇒(3D+1)(D-3)y =4
Since the linear operation is
L(D) ≡ (3D+1)(D-3)
For particular integral
[since 
]
[ replace D by 0 , since L(0)≠0]
The complete solution is
y= C.F+P.I
Answer:
n = 6.39
Explanation:
2.3 + 4.09 = n
6.39 = n
Swap the sides of the equation
n = 6.39
Answer:
Step-by-step explanation:
The radius it .5 of the diameter so in this case the radius is 11. The formula for area is pi*r^2= pi*11^2=pi*121=380.13
Answer:
x = 7
Step-by-step explanation:
if ABC ~ DEF than AB ~ ED, AC ~ DF, and CB ~ FE
The ratio of AB to ED is given as 5/30 = 1/6
For AC ~ ED the ratio would be same x/42 = 1/6 cross multiply it
6x = 42
x = 7
Answer: 7/8
What you have to do here is to find the highest number which can be divided by both. Or you have to divide both the numerator and denominator until it can not be divided by any number anymore. You can do this by finding the highest common factor (<u>HCF)</u> of both the number, 35 and 40.
Highest Common Factor: HCF of two or more numbers is the greatest factor that divides the numbers. For example, 2 is the HCF of 4 and 6.
So, the highest number which divides 35 and 40, is 5. Now 35 divided by 5 is 7 and 40 divided by 5 is 8. The final answer is 7/8 and there is no more numbers which can divide both of them by a specific number.
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hope it helped
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