Answer:
Step-by-step explanation:4/3 inch increase per year
Answer:
Option A
Step-by-step explanation:
Given differential equtaion is
As this equation contains derivatives and not partial derivatives, this equation is an ordinary differential equation and not a partial differential equation.
Here, denotes that x is an independent variable and y is a dependent variable.
Order of the differential equation is a number of the highest derivative.
Order of the given differential equation is 1.
We can write this ordinary differential equation as follows:
As this equation is of form , this is a linear differential equation.
So, option A. is correct as this is a linear ordinary differential equation.
First, the characteristic solution to the homogeneous part:
has characteristic equation
with roots
. So the characteristic solution has the form
Now for the nonhomogeneous part. Using the method of undetermined coefficients, we can try a particular solution of the form
which has derivatives
Substituting
and its derivatives into the equation gives
which means
so that the particular solution must be
Now the general solution will be
We can write 2 1/4 as 9/4
So, 6 / 9/4 = 6*4/9 = 24/9 = 2.66
over 9000 becuz it is over 9000