Question

Given the 2 ODE's: y" + y = 0 and y" + y = 100 What...

Given the 2 ODE's: y" + y = 0 and y" + y = 100

What is the fundamental set of solutions?

What is the general solution?

Prove that the general solution is unique up to linear combinations of fundamental solutions.

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

Homework Answers

Answer #1

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
Given that y1 = t, y2 = t 2 are solutions to the homogeneous version of...
Given that y1 = t, y2 = t 2 are solutions to the homogeneous version of the nonhomogeneous DE below, verify that they form a fundamental set of solutions. Then, use variation of parameters to find the general solution y(t). (t^2)y'' - 2ty' + 2y = 4t^2 t > 0
Find a fundamental set of solutions of x^2 y"-2 x y' + (x^2 +2) y  = 0...
Find a fundamental set of solutions of x^2 y"-2 x y' + (x^2 +2) y  = 0 , given that y = x sin x satisfies the complementary equation
Consider the differential equation x^2y′′ − 3xy′ − 5y = 0. Note that this is not...
Consider the differential equation x^2y′′ − 3xy′ − 5y = 0. Note that this is not a constant coefficient differential equation, but it is linear. The theory of linear differential equations states that the dimension of the space of all homogeneous solutions equals the order of the differential equation, so that a fundamental solution set for this equation should have two linearly fundamental solutions. • Assume that y = x^r is a solution. Find the resulting characteristic equation for r....
Find a fundamental set of solutions for y 00 + 8y 0 + 16y = 0...
Find a fundamental set of solutions for y 00 + 8y 0 + 16y = 0 and find a solution satisfying y(0) = 2 and y 0 (0) = −1
Verify that the given functions form a fundamental set of solutions of the differential equation on...
Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. Form the general solution. 1.) y'' − 4y = 0; cosh 2x, sinh 2x, (−∞,∞) 2.) y^(4) + y'' = 0; 1, x, cos x, sin x (−∞,∞)
Given the third order homogeneous constant coefficient equation y′′′+4y′′+y′−26y=0 1) the auxiliary equation is ar3+br2+cr+d= ?...
Given the third order homogeneous constant coefficient equation y′′′+4y′′+y′−26y=0 1) the auxiliary equation is ar3+br2+cr+d= ? =0. 2) The roots of the auxiliary equation are ? (enter answers as a comma separated list). 3) A fundamental set of solutions is (Enter the fundamental set as a commas separated list y1,y2,y3)
consider ivp given by x^2y" + 2xy' - 6y = 0 w/ y(1) = 1, y'(1)...
consider ivp given by x^2y" + 2xy' - 6y = 0 w/ y(1) = 1, y'(1) = 2 verify y(x) = x^2 and y(x) = x^-3 are solutions use wronskian to show both y(x) above are linearly independent find unique solution to ivp
Given (k is a constant): x + y + kz = 1 kx + y +...
Given (k is a constant): x + y + kz = 1 kx + y + z = 3 2kx + 4y + 4z = 3k +12 Find the values of "k" for which the system has: 1. A unique solution. 2. Infinitely many solutions. 3. No solution. b. Plug k = −2 and find the solution for the system c. Plug k = 0 and find the solutions for the system. d. Find the solution for k = 0...
given that y1=xcos(lnx)and y2=xsin(lnx)form a fundamental set of solutions to x^2y''-xy'+2y=0,find general solution to x^2y''-xy'+2y=xlnx
given that y1=xcos(lnx)and y2=xsin(lnx)form a fundamental set of solutions to x^2y''-xy'+2y=0,find general solution to x^2y''-xy'+2y=xlnx
y^4-2y^2+y=0 find the set of solutions solve y^2+y^'=0 y(0)=0, y(0)=-10
y^4-2y^2+y=0 find the set of solutions solve y^2+y^'=0 y(0)=0, y(0)=-10
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT