In Exercises 1–59 ﬁnd a particular solution y'''+3y''+4y'+12y=8cos2x - 16sin2x

In Exercises 1–59 ﬁnd a particular solution

y'''+3y''+4y'+12y=8cos2x - 16sin2x

Expert Solution

Colby Messinger answered 1 year ago

find the particular solution for: y'' - 4y' - 12y = e2x(-3x2 + 4x + 5)...

find the particular solution for: y'' - 4y' - 12y = e2x(-3x2 + 4x + 5) (hint: try y= ue2x then use: u = Ax2 + Bx + C)

ﬁnd the general solution of the given differential equation 1. 2y''+3y'+y=t^2 +3sint ﬁnd the solution of...

ﬁnd the general solution of the given differential equation 1. 2y''+3y'+y=t^2 +3sint ﬁnd the solution of the given initial value problem 1. y''−2y'−3y=3te^2t, y(0) =1, y'(0) =0 2. y''−2y'+y=te^t +4, y(0) =1, y'(0) =1

Find the particular solution: y″−4y′+4y=(−11.5e^(2t))/(t^(2)+1)

ﬁnd the solution of the given initial value problem 1. y''−2y'−3y=3te2t, y(0) =1, y'(0) =0 2....

ﬁnd the solution of the given initial value problem 1. y''−2y'−3y=3te2t, y(0) =1, y'(0) =0 2. y''+4y=3sin2t, y(0) =2, y'(0) =-1

ﬁnd the solution of the given initial value problem 1. y''+4y=t2+3et, y(0) =0, y'(0) =2 2....

ﬁnd the solution of the given initial value problem 1. y''+4y=t2+3et, y(0) =0, y'(0) =2 2. y''−2y'+y=tet +4, y(0) =1, y'(0) =1

Again considering y'' + 4y' + 3y = 0: (a) Solve the IVP y'' + 4y'...

Again considering y'' + 4y' + 3y = 0: (a) Solve the IVP y'' + 4y' + 3y = 0; y(0) = 1, y'(0) = α where α > 0. (b) Determine the coordinates (tm,ym) of the maximum point of the solution as a function of α. (c) Determine the behavior of tm and ym as α →∞.

Question

In Exercises 1–59 ﬁnd a particular solution y'''+3y''+4y'+12y=8cos2x - 16sin2x

Solutions

Expert Solution

Related Solutions

find the particular solution for: y'' - 4y' - 12y = e2x(-3x2 + 4x + 5)...

ﬁnd the general solution of the given differential equation 1. 2y''+3y'+y=t^2 +3sint ﬁnd the solution of...

Find the particular solution: y″−4y′+4y=(−11.5e^(2t))/(t^(2)+1)

ﬁnd the solution of the given initial value problem 1. y''−2y'−3y=3te2t, y(0) =1, y'(0) =0 2....

ﬁnd the solution of the given initial value problem 1. y''+4y=t2+3et, y(0) =0, y'(0) =2 2....

Again considering y'' + 4y' + 3y = 0: (a) Solve the IVP y'' + 4y'...

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Find a particular solution to y” + 4y = 16t sin(2t)

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