Answer:
-6x - 12
Step-by-step explanation:
-2 ( 3x + 6 )
= -6x - 12
x-intercept(s): (1/2, 0) or (0.5, 0)
y-intercept(s): (0, −2)
1) find x
y=1/(x+3) -4
y+4=1/(x+3) -4+4
y+4=1/(x+3)
x+3 =1/(y+4)
x= 1/(y+4) - 3
2) change x on y , and y on x
x= 1/(y+4) - 3
y= 1/(x+4) - 3 This is an answer.
Answer:
The functions satisfy the differential equation and linearly independent since W(x)≠0
Therefore the general solution is

Step-by-step explanation:
Given equation is

This Euler Cauchy type differential equation.
So, we can let

Differentiate with respect to x

Again differentiate with respect to x

Putting the value of y, y' and y'' in the differential equation



⇒m²-10m +24=0
⇒m²-6m -4m+24=0
⇒m(m-6)-4(m-6)=0
⇒(m-6)(m-4)=0
⇒m = 6,4
Therefore the auxiliary equation has two distinct and unequal root.
The general solution of this equation is

and

First we compute the Wronskian


=x⁴×6x⁵- x⁶×4x³
=6x⁹-4x⁹
=2x⁹
≠0
The functions satisfy the differential equation and linearly independent since W(x)≠0
Therefore the general solution is

Answer:i cant see it good
Step-by-step explanation: