For this problem I want to find the particular solution;
but i am not sure if it is right setup.
y''+9y'=162sin(9t)+1296cos(9t)
the roots for complementary function are 0,-9
so it has distinct roots.
my setup is;
[Asin(9t)+Bcos(9t)]+[Asin(9t)+Bcos(9t)]
Axsin(9t)+Bxcos(9t)
am I...
For this nonhomogeneous differential equation:
-2y''+y'+y=2t^2-2t-5e^(-2t)
would the setup for the particular solution (yp) be;
Ae^(-2t)+Bt^2+Ct+D?
Thank You
I am having trouble with the following
Nonhomogeneous equation
y''+7y'+10y=18te^(5t)
yp(t)=Ae^(2t)+Bte^(5t)
yp'(t)=5Ae^(5t)+Be^(5t)+5Bte^(5t)
yp''(t)=25Ae^(5t)+5Be^(5t)+5Be^(5t)+25...
A=(-4.37/70), B=(18/70)
i plugged into yp and got
(-4.37/70)e^(2t)+(18/70)te^(2t)
But it was...
NonHomogeneous Equations and Undetermined Coefficients
Find the particular solution;
y''-10y'+25y=-18e^(5t)
here is my work
yp(x)=-Ae^(5t)
yp'(x)=-5Ae^(5t)
yp''(x)=-25Ae^(5t)
plug into equation
[-25Ae^(5t)]-10[-5Ae^(5t)]+25[-Ae^(5t)...
Now; I have 0=-18e^(5t) which doesn't...
Homework Statement
find volume of y=4(x)^(.5) y=x, it revolves about x=17
here is my work
pi integral 0-16 (17-4(x)^(.5))^(2)-(17-x)^(2)
simplified and integrated too;
pi integral 0-16 {(50/2)x^2-(1/3)x^3-(272/3)(x)^(3/2)}
my definite integrated answer was
-768pi, but it is wrong...
[SOLVED] Implicit Differentiation
-4x^2+3xy+4y^3=-328
This is at the point (3,-4)
and i am trying to find m
Homework Equations
The Attempt at a Solution
here is my work
-4x^2+3xy+4y^3=-328
-8x+3xy'+3y+12y^2y'=0
-8x+3y=-3xy'-12y^2y'
-8x+3y=[-3x-12y^2]y'...
[SOLVED] Implicit Differentiation
[b]-4x^2+3xy+4y^3=-328
This is at the point (1,3)
Homework Equations
The Attempt at a Solution
here is my work
-4x^2+3xy+4y^3=-328
-8x+3xy'+3y+12y^2y'=0
-8x+3y=-3xy'-12y^2y'
-8x+3y=[-3x-12y^2]y'
y'=(-8x+3y)/(-3x-12y^2)
plug in x=1,y=3...