Question

Solve (x - 1)3x+2 +2(x - 1)242 - 4(x – 1 ) x + 4y = 4elog (log(x-1)). . - 2dy dx² dx​

Answer 1

Step-by-step explanation:

The given equation is  

dx

dy

​

−  

x+1

y

​

=e  

3x

(x+1)

I.F. =e  

∫−  

x+1

1

​

dx

=e  

−log(x+1)

=  

x+1

1

​

 

The solution is

y(  

x+1

1

​

)=∫e  

3x

(x+1).  

x+1

1

​

dx+a

⇒  

x+1

y

​

=∫e  

3x

dx+a=  

3

e  

3x

 

​

+a

⇒  

x+1

3y

​

=e  

3x

+c,c=3a