Question

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

Math   Calculus   
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
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 (−∞,∞)
1.Show that cos 2t, sin 2t, and e^5t are linearly independent and form a fundamental set...
1.Show that cos 2t, sin 2t, and e^5t are linearly independent and form a fundamental set of solutions for the equation: y ′′′ − 5y ′′ + 4y ′ − 20y = 0 2.Find the general solution to the equation: y ′′′ − y ′′ − 4y ′ + 4y = 0
y1 = 2 cos(x) − 1 is a particular solution for y'' + 4y = 6...
y1 = 2 cos(x) − 1 is a particular solution for y'' + 4y = 6 cos(x) − 4. y2 = sin(x) is a particular solution for y''+4y = 3 sin(x). Using the two particular solutions, find a particular solution for y''+4y = 2 cos(x)+sin(x)− 4/3 . Verify if the particular solution satisfies the given DE. [Hint: Rewrite the right hand of this equation in terms of the given particular solutions to get the particular solution] Verify if the particular...
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
Consider the equation y'' + 4y = 0. a) Justify why the functions y1 = cos(4t)...
Consider the equation y'' + 4y = 0. a) Justify why the functions y1 = cos(4t) and y2 = sin(4t) do not constitute a fundamental set of solutions of the above equation. b) Find y1, y2 that constitute a fundamental set of solutions, justifying your answer.
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
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.
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)
1. Find all solutions to sin(2(x − π)) = 0
1. Find all solutions to sin(2(x − π)) = 0
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT