Find an explicit solution of the given initial - value problem . x ^ 2 * (dy)/(dx) = y - xy , y(- 1) = - 2

The explicit solution is:

The given differential equation is:

We will use separation of variable to solve it.

Given that y(- 1) = - 2.

So the explicit solution is:

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The ODE,

is separable, since we can write

Integrate both sides to get

Solve for y :

Use the initial condition to solve for C :

So the particular solution to the IVP is

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer