Question

Consider the differential equation x′=[2 −2 4 −2], with x(0)=[1 1] Solve the differential equation wherex=[x(t)y(t)]...

Consider the differential equation x′=[2 −2 4 −2], with x(0)=[1 1] Solve the differential equation wherex=[x(t)y(t)]

please write as neat as possible better if typed and explain clearly with step by step work

Homework Answers

Answer #1

In this question first i idntify the matrix and then find the eigen value and eigen vector. After finding these I simply use initial condition to get the arbitrary constant.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
solve the given differential equation (x^2) y’’ -6y=0 please explain step by step
solve the given differential equation (x^2) y’’ -6y=0 please explain step by step
solve differential equation ((x)2 - xy +(y)2)dx - xydy = 0 solve differential equation (x^2-xy+y^2)dx -...
solve differential equation ((x)2 - xy +(y)2)dx - xydy = 0 solve differential equation (x^2-xy+y^2)dx - xydy = 0
Consider the differential equation x^2 y' '+ x^2 y' + (x-2)y = 0 a) Show that...
Consider the differential equation x^2 y' '+ x^2 y' + (x-2)y = 0 a) Show that x = 0 is a regular singular point for the equation. b) For a series solution of the form y = ∑∞ n=0 an x^(n+r)   a0 ̸= 0 of the differential equation about x = 0, find a recurrence relation that defines the coefficients an’s corresponding to the larger root of the indicial equation. Do not solve the recurrence relation.
Solve the differential equation: a) y'= t^2y^3 / t^3+6 b) y'= x(e^x^2 +2) / 6y^2 ;...
Solve the differential equation: a) y'= t^2y^3 / t^3+6 b) y'= x(e^x^2 +2) / 6y^2 ; y(0) =1
Consider the following differential equation: dydx=x+y With initial condition: y = 1 when x = 0...
Consider the following differential equation: dydx=x+y With initial condition: y = 1 when x = 0 Using the Euler forward method, solve this differential equation for the range x = 0 to x = 0.5 in increments (step) of 0.1 Check that the theoretical solution is y(x) = - x -1 , Find the error between the theoretical solution and the solution given by Euler method at x = 0.1 and x = 0.5 , correct to three decimal places
Solve the differential equation y^' − xy = e^x   y(0) = 2
Solve the differential equation y^' − xy = e^x   y(0) = 2
Solve the differential equation y'+(4/x) y=x^3 y^2
Solve the differential equation y'+(4/x) y=x^3 y^2
Solve the following differential equation using the power series method. (1+x^2)y''-y'+y=0
Solve the following differential equation using the power series method. (1+x^2)y''-y'+y=0
Solve the following differential equations 1. cos(t)y' - sin(t)y = t^2 2. y' - 2ty =...
Solve the following differential equations 1. cos(t)y' - sin(t)y = t^2 2. y' - 2ty = t Solve the ODE 3. ty' - y = t^3 e^(3t), for t > 0 Compare the number of solutions of the following three initial value problems for the previous ODE 4. (i) y(1) = 1 (ii) y(0) = 1 (iii) y(0) = 0 Solve the IVP, and find the interval of validity of the solution 5. y' + (cot x)y = 5e^(cos x),...
Solve the Homogeneous differential equation (7 y^2 + 1 xy)dx - 1 x^2 dy = 0...
Solve the Homogeneous differential equation (7 y^2 + 1 xy)dx - 1 x^2 dy = 0 (a) A one-parameter family of solution of the equation is y(x) = (b) The particular solution of the equation subject to the initial condition y(1) =1/7.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • A) Assuming that ferrous ammonium sulfate hexahydrate is the limiting reagent in a reaction with ferrous...
    asked 4 minutes ago
  • Ross Hopkins, president of Hopkins Hospitality, has developed the tasks, durations, and predecessor relationships in the...
    asked 15 minutes ago
  • A trapezoidal channel is needed for a location where the bed slope is 0.008 ft/ft, discharge...
    asked 18 minutes ago
  • List and briefly explain each step in the ABCDE technique for examining irrational beliefs that contribute...
    asked 37 minutes ago
  • 1. Find the general solution of the first order linear differential equation: 2*x*dy/dx -y-3/sqrt(x)=0. sqrt() =...
    asked 59 minutes ago
  • Fairfield Homes is developing two parcels near Pigeon Fork, Tennessee. In order to test different advertising...
    asked 1 hour ago
  • . For each of the following questions, say whether the random process is reasonably a binomial...
    asked 1 hour ago
  • Please discuss why empathy is so important in light of current events. Please give specific examples
    asked 1 hour ago
  • Describe ONE thing you learned from either Peter singer or Tibor Machan author that compelled you...
    asked 1 hour ago
  • Global logistics firms such as DHL Supply Chain and Global Forwarding or C. H. Robinson Worldwide...
    asked 1 hour ago
  • Please match each factor in adoption of a new product or service to the best match...
    asked 2 hours ago
  • Fatty Acid Synthesis Assignment Explain how the activation of acetyl-CoA carboxylase prevents excess citrate in the...
    asked 2 hours ago