Answer:
8x^{4}-2/3x^{2}-2/3x
Step-by-step explanation:
128
328
437
837
Hope it helped
Answer:
x=2
Step-by-step explanation:
2In(4x)=2In(8)
determine the defined range
2In(4x)=2In(8) , x is greather than 0
divide both sides by 2
In(4x)=In(8)
set the arguments equal
4x=8
divide both sides by 4
x=2, x is greater than 0
x=2
Answer:
2.87b
Step-by-step explanation:
done done done donendone
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
