The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, y2 = y1(x) e−∫P(x) dx y 2 1 (x) dx (5) as instructed, to find a second solution y2(x). x2y'' + 2xy' − 6y = 0; y1 = x2

Here is the right and correct question:

The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,

as instructed, to find a second solution

Step-by-step explanation:

Let take a look at the differential equation:

So;

where;

    ;

Also:

The task is to find the value of by using the reduction formula  such that

simplifying ;we have:

Let assume that =

Also : Let

Replacing the value of and in the  equation

Therefore;

12/11c

or

12

c

11