1. I suppose the ODE is supposed to be
Solving for 
gives
which is undefined when 
. The interval of validity depends on what your initial value is. In this case, it's 
, so the largest interval on which a solution can exist is 
.
2. Separating the variables gives
Integrate both sides. On the left, we have
where we substituted 
- or 
- and 
- or 
.
On the right, we have
So
I'll leave the solution in this form for now to make solving for 
easier. Given that 
, we get
and so our solution is
Answer:
Step-by-step explanation:
For this case we have the following expression:
The first thing we must do is to rewrite the expression as the product of two binomials.
To do this, we add similar terms.
We have then:
Then, doing distributive property we have:
Adding similar terms:
Answer:
The simplified expression is:
7=x this is for the first one but you have to 1
3
=
2
1
1
3
=
x
21
31=21x
2
1
⋅
1
3
=
2
1
⋅
2
1
21
⋅
1
3
=
21
⋅
x
21
21⋅31=21⋅21x
Multiply the numbers
Cancel multiplied terms that are in the denominator
7
=
2
1
⋅
2
1
7
=
21
⋅
x
21
7=21⋅21x
7
=
7
=
x
7=x
7
=
7
=
x
7=x
C. y = 0.5x.
The coefficient of x is the slope of the line. From the picture, you can see that the slope of the blue line is half the slope of the black line.
