Take the homogeneous part and find the roots to the characteristic equation:
This means the characteristic solution is
.
Since the characteristic solution already contains both functions on the RHS of the ODE, you could try finding a solution via the method of undetermined coefficients of the form
. Finding the second derivative involves quite a few applications of the product rule, so I'll resort to a different method via variation of parameters.
With
and
, you're looking for a particular solution of the form
. The functions
satisfy
where
is the Wronskian determinant of the two characteristic solutions.
So you have
So you end up with a solution
but since
is already accounted for in the characteristic solution, the particular solution is then
so that the general solution is
Okay i believe the first one is 4/7 and the second one is 2. also don’t listen to them. sometimes it can be hard and you start to stress. good luck and if this isn’t right i’m so sorry :) keep your head up!!!
The answer is D, "No, because two points with the same x-value have different y-values."
Essentially, there cannot be more than one point on the same x-line. Point (2, 11) and point (2, 2) are on the same x-line, which is 2.
Hope this helps!
Answer:
Center of the Sphere is a fixed point in its interior which is equidistant from each point on sphere. Option 1 is not right because it says center is line segment. Option 3 is right as it says it is fixed and equidistant from point of surface.
Step-by-step explanation:
1 The center of a sphere is
2 a line segment from the center point to the surface of the sphere.
3 a fixed point equidistant from all points on the surface of the sphere.
4 a three-dimensional circle in which all points are equidistant from a fixed point.
5 the same as the base of the sphere
nvm too late :D
the answer is number 3
Answer:
A
Step-by-step explanation:
x = 0
y = -3