Solve one of the following non-homogeneous Cauchy-Euler equations using whatever technique you prefer. Put an "X" through whiche ver equations you would not put an "X" through either equation, I will grade whichever one I prefer. a) x^2 y" + 10xy' + 8y = x^2 b) x^2 y" - 3xy' + 13y = 4 + 3x
1 answer:
Answer:
a.
b.
Step-by-step explanation:
1.
It is Cauchy-Euler equation where
Then auxillary equation
D'=-1 and D'=-8
Hence, C.F=
C.F=
P.I=
Where D'=2
b.
Same method apply
Auxillary equation
C.F=
C.F=
P.I=
Substitute D'=0 where and D'=1 where
P.I=
P.I=
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Answer:
-25 and 2
Step-by-step explanation:
x + y = -23
xy = 50, so y = 50 /x
.
x + 50/x =-23, x^2 +23x - 50 = (x-2)(x+25)
so 2 and -25
Answer:
A, D , and E
Step-by-step explanation:
We have that:
is the image of CD after a dilation of scale factor n.
We use the relation between the image length and object length:
Option A
If n=3/2, then
This is true.
Option B
If n=4, then
This is false.
Option C
If n=8, then
This too is false.
Option D
If n=2, then
This is true
Option E
If n=3/4, then
This is also true.
Step-by-step explanation:
all angles of a triangle sum to 180
180 = 15x + 24x +21x
180=60x
solve for x
then substitute that for 24(x) to get the angle
Answer:
C is true as 2 pionts = a line
Step-by-step explanation:
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Answer:
3/2
Step-by-step explanation:
formula: y2-y1/x2-x1
-1-(-4)/3-1=
-1+4/3-1
3/2