Question

In this problem verify that the given functions y1 and y2 satisfy the corresponding homogeneous equation....

In this problem verify that the given functions y1 and y2 satisfy the corresponding homogeneous equation. Then find a particular solution of the nonhomogeneous equation. x^2y′′−3xy′+4y=31x^2lnx, x>0, y1(x)=x^2, y2(x)=x^2lnx. Enter an exact answer.

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 y1(t)=t^2 and y2(t)=t^-1 satisfy the corresponding homogeneous equation of t^2y''−2y=2−t3,  t>0 Then the general solution to...
Given y1(t)=t^2 and y2(t)=t^-1 satisfy the corresponding homogeneous equation of t^2y''−2y=2−t3,  t>0 Then the general solution to the non-homogeneous equation can be written as y(t)=c1y1(t)+c2y2(t)+yp(t) yp(t) =
The nonhomogeneous equation t2 y′′−2 y=19 t2−1, t>0, has homogeneous solutions y1(t)=t2, y2(t)=t−1. Find the particular...
The nonhomogeneous equation t2 y′′−2 y=19 t2−1, t>0, has homogeneous solutions y1(t)=t2, y2(t)=t−1. Find the particular solution to the nonhomogeneous equation that does not involve any terms from the homogeneous solution. Enter an exact answer. Enclose arguments of functions in parentheses. For example, sin(2x). y(t)=
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
Consider the differential equation: 66t^2y''+12t(t-11)y'-12(t-11)y=5t^3, . You can verify that y1 = 5t and y2 =...
Consider the differential equation: 66t^2y''+12t(t-11)y'-12(t-11)y=5t^3, . You can verify that y1 = 5t and y2 = 4te^(-2t/11)satisfy the corresponding homogeneous equation. The Wronskian W between y1 and y2 is W(t) = (-40/11)t^2e^((-2t)/11) Apply variation of parameters to find a particular solution. yp = ?????
The indicated functions are known linearly independent solutions of the associated homogeneous differential equation on (0,...
The indicated functions are known linearly independent solutions of the associated homogeneous differential equation on (0, ∞). Find the general solution of the given nonhomogeneous equation. x2y'' + xy' + y = sec(ln(x)) y1 = cos(ln(x)), y2 = sin(ln(x))
The nonhomogeneous equation t2 y′′−2 y=29 t2−1, t>0, has homogeneous solutions y1(t)=t2, y2(t)=t−1. Find the particular...
The nonhomogeneous equation t2 y′′−2 y=29 t2−1, t>0, has homogeneous solutions y1(t)=t2, y2(t)=t−1. Find the particular solution to the nonhomogeneous equation that does not involve any terms from the homogeneous solution.
B. a non-homogeneous differential equation, a complementary solution, and a particular solution are given. Find a...
B. a non-homogeneous differential equation, a complementary solution, and a particular solution are given. Find a solution satisfying the given initial conditions. y''-2y'-3y=6 y(0)=3 y'(0) = 11 yc= C1e-x+C2e3x yp = -2 C. a third-order homogeneous linear equation and three linearly independent solutions are given. Find a particular solution satisfying the given initial conditions y'''+2y''-y'-2y=0, y(0) =1, y'(0) = 2, y''(0) = 0 y1=ex, y2=e-x,, y3= e-2x
Verify that the functions y1 = cos x − cos 2x and y2 = sin x...
Verify that the functions y1 = cos x − cos 2x and y2 = sin x − cos 2x both satisfy the differential equation y′′ + y = 3 cos 2x.
Show that the given functions y1 and y2 are solutions to the DE. Then show that...
Show that the given functions y1 and y2 are solutions to the DE. Then show that y1 and y2 are linearly independent. write the general solution. Impose the given ICs to find the particular solution to the IVP. y'' + 25y = 0; y1 = cos 5x; y2 = sin 5x; y(0) = -2; y'(0) = 3.
The indicated function y1(x) is a solution of the associated homogeneous differential equation. Use the method...
The indicated function y1(x) is a solution of the associated homogeneous differential equation. Use the method of reduction of order to find a second solution y2(x) and a particular solution of the given nonhomoegeneous equation. y'' − y'  = e^x y1 = e^x
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT