Question

Differential Equations ?'''' − ?''' − ?'′ − ? ′ − 2? = 8?^5 Find ??...

Differential Equations

?'''' − ?''' − ?'′ − ? ′ − 2? = 8?^5

Find ?? by solving the associated homogeneous equation.

a. Find the characteristic polynomial.

b. Find the possible rational roots by using the Rational Roots Theorem.

c. Find all roots of the characteristic polynomial.

d. Find ?? .

Homework Answers

Answer #1

please comments if you have any problem

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
Use the method for solving homogeneous equations to solve the following differential equation. (9x^2-y^2)dx+(xy-x^3y^-1)dy=0 solution is...
Use the method for solving homogeneous equations to solve the following differential equation. (9x^2-y^2)dx+(xy-x^3y^-1)dy=0 solution is F(x,y)=C, Where C= ?
Consider the following second-order differential equation: ?"(?)−?′(?)−6?(?)=?(?) (1) Let ?(?)=−12e^t. Find the general solution to the...
Consider the following second-order differential equation: ?"(?)−?′(?)−6?(?)=?(?) (1) Let ?(?)=−12e^t. Find the general solution to the above equation. (2) Let ?(?)=−12. a) Convert the above second-order differential equation into a system of first-order differential equations. b) For your system of first-order differential equations in part a), find the characteristic equation, eigenvalues and their associated eigenvectors. c) Find the equilibrium for your system of first-order differential equations. Draw a phase diagram to illustrate the stability property of the equilibrium.
This is a differential equations problem: use variation of parameters to find the general solution to...
This is a differential equations problem: use variation of parameters to find the general solution to the differential equation given that y_1 and y_2 are linearly independent solutions to the corresponding homogeneous equation for t>0. ty"-(t+1)y'+y=18t^3 ,y_1=e^t ,y_2=(t+1) it said the answer to this was C_1e^t + C_2(t+1) - 18t^2(3/2+1/2t) I don't understand how to get this answer at all
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....
The following are solutions to homogeneous linear differential equations. Obtain the corresponding differential equation with real,...
The following are solutions to homogeneous linear differential equations. Obtain the corresponding differential equation with real, constant cocfficients that is satisfied by the given function: a) y=4e^2x+3e^-x b) y=x^2-5sin3x c) y=-2x+1/2e^4x d) y=xe^-xsin2x+3e^-xcos2x
Use the Rational Root Theorem to find all possible rational roots then use Newton’s Method to...
Use the Rational Root Theorem to find all possible rational roots then use Newton’s Method to find one rational root and then synthetic division and the quadratic formula to find the any remaining rational, irrational or complex roots.   Px=3x^5-8x^4-17x^3+38x^2+20x-24
Differential Equations Using the method of undetermined coefficients find the Yp (particular solution) of the differential...
Differential Equations Using the method of undetermined coefficients find the Yp (particular solution) of the differential equation: y’’ - y = 1 + e^x
differential equations! find the Differential Equation General Solve by using variation of parameters method... y''' -...
differential equations! find the Differential Equation General Solve by using variation of parameters method... y''' - 3y'' +3y' - y =12e^x
Solving Systems of Linear Equations Using Linear Transformations In problems 2 and 5 find a basis...
Solving Systems of Linear Equations Using Linear Transformations In problems 2 and 5 find a basis for the solution set of the homogeneous linear systems. 2. ?1 + ?2 + ?3 = 0 ?1 − ?2 − ?3 = 0 5. ?1 + 2?2 − 2?3 + ?4 = 0 ?1 − 2?2 + 2?3 + ?4 = 0. So I'm in a Linear Algebra class at the moment, and the professor wants us to work through our homework using...
Solve the following differential equation by variation of parameters. Fully evaluate all integrals. y′′+9y=sec(3x). a. Find...
Solve the following differential equation by variation of parameters. Fully evaluate all integrals. y′′+9y=sec(3x). a. Find the most general solution to the associated homogeneous differential equation. Use c1 and c2 in your answer to denote arbitrary constants, and enter them as c1 and c2. b. Find a particular solution to the nonhomogeneous differential equation y′′+9y=sec(3x). c. Find the most general solution to the original nonhomogeneous differential equation. Use c1 and c2 in your answer to denote arbitrary constants.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT