How do you find the complementary solution of a nonhomogeneous differential equation? Could someone give me...

How do you find the complementary solution of a nonhomogeneous differential equation? Could someone give me a general rule or few rules to find the complementary solution based on the appearance of the given equation or the roots of the given equation? Thanks

Expert Solution

Colby Messinger answered 1 year ago

Given the complementary solution and the differential equation, Give the particular and the total solution for...

Given the complementary solution and the differential equation, Give the particular and the total solution for the initial conditions. Use C1 and C2 for the weights, where C1 is associated with the root with smaller magnitude. If the roots are complex, the complementary solution is the weighted sum of complex conjugate exponentials, which can be written as a constant times a decaying exponential times a cosine with phase. Use C1 for the constant and Phi for the phase. (Note: Some...

Find the general solution to the nonhomogeneous differential equation: y"-y=tsint

A. Find a particular solution to the nonhomogeneous differential equation y′′ + 4y′ + 5y =...

A. Find a particular solution to the nonhomogeneous differential equation y′′ + 4y′ + 5y = −15x + e-x y = B. Find a particular solution to y′′ + 4y = 16sin(2t). yp = C. Find y as a function of x if y′′′ − 10y′′ + 16y′ = 21ex, y(0) = 15, y′(0) = 28, y′′(0) = 17. y(x) =

(a) Write a general expression for yp(x) a particular solution to the nonhomogeneous differential equation [Do...

(a) Write a general expression for yp(x) a particular solution to the nonhomogeneous differential equation [Do not evaluate the coefficients] y′′ + 2y′ + 2y = e-x (4x + sin x) + 2 cos(2x). (b) Solve the initial value problem y′′ - y = 1 + 4ex; y(0) = 1; y′(0) = 2:

Determine the reasonable form of the paticular solution for each nonhomogeneous differential equation. DO NOT SOLVE...

Determine the reasonable form of the paticular solution for each nonhomogeneous differential equation. DO NOT SOLVE IT. a) y''-y'+y=e^(-x) + xcos(2x) + (e^(x))sin(2x) b) D^2[y] + 4y = 1 + x^2 + xsin(2x)

Consider a nonhomogeneous differential equation ?′′ + 2?′ + ? = 2? sin? (a) Find any...

Consider a nonhomogeneous differential equation ?′′ + 2?′ + ? = 2? sin? (a) Find any particular solution ?? by using the method of undetermined coefficients. (b) Find the general solution. (c) Find the particular solution if ?(0) = 0 and ?′(0) = 0.

Could someone give me an example of how to find net uplift wind pressure on a...

Could someone give me an example of how to find net uplift wind pressure on a wall or gable roof?

How do you solve this? Find the general solution of the given differential equation Show all...

How do you solve this? Find the general solution of the given differential equation Show all steps y''-5y'-6y=10tsin(3t)

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

Can someone please give me the chemical equation and directions on how to test for each...

Can someone please give me the chemical equation and directions on how to test for each individual solution below and how to tell if my solution has one of each category? So a test for HCl and HNO3 excetera.? Acid-HCl,HNO3,H2SO4 Base-NaOH, NH3, Na2S Chloride Salt-NaCl,BaCl2,CuCl2 Nitrate salt-AgNO3,Cu(NO3)2, Fe(NO3)3 Sodium Salt-NaI,Na2SO4,Na2CO3

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