Answer:
The differential equation will be like the one shown below
Step-by-step explanation:
Data:
Let the equation be given as:
y(4) + 8y' = 6
The equation will be expressed linearly as follows:
y(4) + 8
This is the linear form of the differential equation.
Yes here multiply takes place not divide
<u><em>Answer:</em></u>
c = 4
<u><em>Explanation:</em></u>
The number of solutions for any equation is equal to the degree of the equation.
The given equation is a second degree equation which means that it has two solutions.
The only possible way for it to have one unique real solution is that the two <u>solutions are equal</u>
<u>This means that:</u>
x - 4 = x - c
<u>Now, we solve for c:</u>
x - 4 - x = x - c - x
-4 = -c
c = 4
Hope this helps :)
Answer:
x = 3
Step-by-step explanation:
Simplifying
4 + -7x = 1 + -6x
Solving
4 + -7x = 1 + -6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6x' to each side of the equation.
4 + -7x + 6x = 1 + -6x + 6x
Combine like terms: -7x + 6x = -1x
4 + -1x = 1 + -6x + 6x
Combine like terms: -6x + 6x = 0
4 + -1x = 1 + 0
4 + -1x = 1
Add '-4' to each side of the equation.
4 + -4 + -1x = 1 + -4
Combine like terms: 4 + -4 = 0
0 + -1x = 1 + -4
-1x = 1 + -4
Combine like terms: 1 + -4 = -3
-1x = -3
Divide each side by '-1'.
x = 3
Simplifying
x = 3
Answer:
Step-by-step explanation:
Subtract x from both sides.
Square both sides.
Subtract x²-6x+9 from both sides.
Factor left side of the equation.
Set factors equal to 0.
Check if the solutions are extraneous or not.
Plug x as 2.
x = 2 works in the equation.
Plug x as 6.
x = 6 does not work in the equation.