Answer:
- The initial value corresponds to the y value when x = 0
Step-by-step explanation:
Since the graph is given, it is unnecessary to "finish the line." It is only necessary to read the value of y from the graph where x=0.
Answer:

Step-by-step explanation:
This is <em>a separable differential equation</em>. Rearranging terms in the equation gives

Integration on both sides gives

where
is a constant of integration.
The steps for solving the integral on the right hand side are presented below.

Therefore,

Multiply both sides by 

By taking exponents, we obtain

Isolate
.

Since
when
, we obtain an initial condition
.
We can use it to find the numeric value of the constant
.
Substituting
for
and
in the equation gives

Therefore, the solution of the given differential equation is

Answer:
(-5, 2) and (2, 6)
Step-by-step explanation:
Use the substitution method. We know that y = 3x and y = x^2 - 10, so we can set them equal to one another.
3x = x^2 - 10
x^2 - 3x - 10 = 0
Use the quadratic equation to solve for x.
x = - 5, 2
Now solve for y using these two values of x by substituting it back into the equations.
y = - 15, 6
In coordinate form, (-5, 2) and (2, 6)
1. 5/y=2/3x +3
2. y= 7/1-4
3. y=2/5x8
4. y=-3/4 +1 I could be wrong but I think this is right
First one is 42
second is 24
Third is 12