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

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

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.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

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 the differential equation with initial value y''−2y'+y=e^t/(1+t^2), y(0) = 1, y'(0) = 0.
Solve the differential equation with initial value y''−2y'+y=e^t/(1+t^2), y(0) = 1, y'(0) = 0.
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 t 2 y" + 3ty' + y = 0, t > 0....
Consider the differential equation t 2 y" + 3ty' + y = 0, t > 0. (a) Check that y1(t) = t −1 is a solution to this equation. (b) Find another solution y2(t) such that y1(t) and y2(t) are linearly independent (that is, y1(t) and y2(t) form a fundamental set of solutions for the differential equation)
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
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT