Answer with explanation:
The given differential equation is
y" -y'+y=2 sin 3x------(1)
Let, y'=z
y"=z'

Substituting the value of , y, y' and y" in equation (1)
z'-z+zx=2 sin 3 x
z'+z(x-1)=2 sin 3 x-----------(1)
This is a type of linear differential equation.
Integrating factor

Multiplying both sides of equation (1) by integrating factor and integrating we get


Answer:
I am so confused Sorry need points.
Step-by-step explanation:
Answer:
x=-34
Step-by-step explanation:
Answer:
2 possible values
Step-by-step explanation:
The given expression is:
![\sqrt[3]{\frac{144}{y} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B144%7D%7By%7D%20%7D)
In order for this to result in a whole number, 144/y must be a perfect cube, the possible perfect cubes (under 144) are:
1, 8, 27, 64, 125
The values of y that would result in those numbers are:

Only two values of y are integers, therefore, there are only two possible values of y for which the given expression results in a whole number.
Answer:
3 1/2
Step-by-step explanation:
3 and 1/2
3.5
7/2