The correct question is:
Determine whether the given function is a solution to the given differential equation. y = cosx + x^8; d²y/dx² + y = x^8 + 56x^6
Step-by-step explanation:
Given the differential equation
d²y/dx² + y = x^8 + 56x^6.
Suppose y = cosx + x^8 is a solution, then differentiating y twice, and adding it to itself, must give the value on the right hand side of the differential equation.
Let us differentiate y twice
y = cosx + x^8
dy/dx = -sinx + 8x^7
d²y/dx² = -cosx + 56x^6
Now,
d²y/dx² + y = -cosx + 56x^6 + cosx + x^8
= 56x^6 + x^8
Therefore,
d²y/dx² + y = x^8 + 56x^6
Which shows that y = cosx + x^8 is a solution to the differential equation.
Answer:
x^2 - 6x + 147 so the coefficient is 1
Step-by-step explanation:
First, simplify the equation.
1. 2/3x(2x-3) = (2x/3)(2x-3)-(x-7)(x+7)
2. 2x-3(2x/3) = (2x(2x-3)) - (x-7)(x+7)
3. Expand -(x-7)(x+7) = -x^2+49
Combine to get (x^2 - 6x)/3 +49
Simplify to get x^2 - 6x + 147. The coefficient of the quadratic term is one.
Answer:
In this equation "a" is a variable.
Step-by-step explanation:
A variable is a term used that does not necessary have a value attached to it. Instead any value can be input in for it.
<span>26
is to 74 and 80 is to X
Since this is a ratio, let’s find the value of X
=> 26 : 74 = 80 : x
=> 74 x 80 = 5 920 / 26
=> 227.7
Let’s check if we have the correct answer.
=> 227.7 * 26
= 5920 / 74 = 80
Or let’s check the other way around
=> 5920 / 80 = 74
Thus our answer is correct</span>
