Question

In: Advanced Math

a) Find the right form of the particular solution (you don't have to solve it)

 

a) Find the right form of the particular solution (you don't have to solve it)

y''-6y'+9y=6x^2+2-12e^3x

b) Solve using variation of parameters

y" + y = secx

c) define or explain the following

- Linear system

- Linear Homogenous system

- Linear Homogenous system with Constant coefficients

d) Solve the initial value problem using the D elimination

dx/dt = 4x - 3y

dy/dt = 6x-7y

Subject to the I.C

x(0) = 2

y(0) = -1

Solutions

Expert Solution


Related Solutions

What is the form of particular solution yp (Y) that you would guess to solve the...
What is the form of particular solution yp (Y) that you would guess to solve the following equation using the Method of Undetermined Coefficients? Write yp with appropriate constants, but DO NOT solve for the constants y ′′ −3y ′ +2y = t2et cost + te2t
Use the annihilator method to write the form of the particular solution but do not solve...
Use the annihilator method to write the form of the particular solution but do not solve the differential equation 1. y”+y=e^(-x)+x^2 2. y”’+y=xe^(2x)cosx+sinx Find the general solution 1. y”-2y’-8y=4e^(2x)-21e^(-3x) Find the general solution of the given differential equation. Then find the solution that passes through the given initial solution 1. y”+6y+10y=3xe^(-3x)-2e^(3x)cosx, y(0)=1, y’(0)=-2
a) Determine the correct form of the particular solution
  a) Determine the correct form of the particular solution  y" + y = sin x b) Solve IVP: y" + y = e^x + x^3; y(0) = 2, y'(0) = 0 c) Solve IVP: y" + y' -2y = x + sin 2x; y(0) = 1, y'(0) = 0
Solve each system. Express the solution set using vectors. Identify a particular solution and the solution...
Solve each system. Express the solution set using vectors. Identify a particular solution and the solution set of the homogeneous system. (a) 3x + 6y = 18 x + 2y = 6 (b) x + y = 1 x − y = −1 (c) x1 + x3= 4 x1 − x2 + 2x3 = 5 4x1 − x2 + 5x3 = 17 (d) 2a + b − c = 2 2a + c = 3 a − b = 0...
Find the general solution of the following differential equations (complementary function + particular solution). Find the...
Find the general solution of the following differential equations (complementary function + particular solution). Find the particular solution by inspection or by (6.18), (6.23), or (6.24). Also find a computer solution and reconcile differences if necessary, noticing especially whether the particular solution is in simplest form [see (6.26) and the discussion after (6.15)]. (D2+2D+17)y = 60e−4x sin 5x
Find the system of equations to model the problem. Don't solve the system. A paper company...
Find the system of equations to model the problem. Don't solve the system. A paper company produces high grade, medium grade and low grade paper. The number of tons of each grade produced from a ton of pulp depends on the source of the pulp. The following table shows three different sources and the amount of each grade of paper that can be produced from one tonne of pulp from each source. (Number of tons) High grade Medium grade Low...
For this activity, I want you to GO OUTSIDE. You don't have to go far. Find...
For this activity, I want you to GO OUTSIDE. You don't have to go far. Find a city park. Find a patch of grass. Find your backyard. Find your local playground. But find somewhere where maybe there is some vegetation and some nonhuman animals. Step 1. Look around you. Make careful observations. What do you see? What kinds of phenomena define the landscape that you see before you? What kinds of organisms travel along with it? How does water move...
find a particular solution to y'' + 5y' + 6y = 18te3t Yp=?
find a particular solution to y'' + 5y' + 6y = 18te3t Yp=?
find a particular solution to y"-2y'+y=-12.5e^t
find a particular solution to y"-2y'+y=-12.5e^t
Find a particular solution for ?^2?′′ + ??′ − 4? = ?^3 Given the fact that...
Find a particular solution for ?^2?′′ + ??′ − 4? = ?^3 Given the fact that the general homogeneous solution is ??(?) = ?1(?^2) + ?2t(?^−2)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT