Homework Statement
The original problem was x'=(-2 1; 1 -2)*x and I needed to find two linearly independent solutions.
Homework Equations
The Attempt at a Solution
I found that x1=(1;1)e^(-t) and x2=(1;-1)e^(-3t). Now I am trying to plot a vector field of this. Is there an easy way...
I have been trying to figure out this problem for a week now and I am still drawing a blank on how to "put that into the differential equation." How exactly can I get started on this?
The professor passed this out today for homework and I have no idea how to even get started. If someone could tell me what type of problem this is I could look it up in the textbook but I can't find anything similar. I couldn't figure out how to insert all of the symbols so I attached the...
I am trying to write a program that estimates the derivative of a polynominal and determines the error. So far my code is
% The code for Problem 3.
a=5-4*x^2+3*x^3-2*x^4+x^5; % ask for a function to be differentiated
x=input('Enter the value x at which to find the derivative '); % ask...
So after introducing y(x)= v(x)*e^(-bx) to the initial equation I came up with v"=1/(x^2)
Using this I came up with v(x)=(4/3)x^(1.5)
So y(x)=((4/3)x^1.5)*e^(-bx) is the particular solution? I apologize for being so dense but I don't actually take this class until next semester, I am...
Homework Statement
Given the differential equation for y=y(x)
(1) L[y]=y"+2by'+yb^2=(e^(-bx))/(x^2) x>0
a)find the complementary solution of (1) by solving L[y]=0
b)Solve (1) by introducing the transformation y(x)=(e^(-bx))*v(x) into (1) and obtaining and solving completely...
Homework Statement
A block of mass m resting on a 20 degree slope. The block has coefficients of friction mu_s =0.80 and mu_k =0.50 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg.
What is the minimum mass m that...