Find the solution of the given initial value problem in explicit form. y′=(1−5x)y2, y(0)=−12 Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n).

The solution is .

Step-by-step explanation:

A first order differential equation is called a separable equation if the function can be factored into the product of two functions of and :

where and are continuous functions.

We have the following differential equation

In the given case and .

We divide the equation by and move to the right side:

Next, integrate both sides:

Now, we solve for

We use the initial condition to find the value of C.

Therefore,

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.