Solve the IVP: u'' + 10u' + 98u = 2sin(t/2) u(0) = 0 u'(0) = 0.03...

Solve the IVP:

u'' + 10u' + 98u = 2sin(t/2)

u(0) = 0

u'(0) = 0.03

and identify the transient and steady state portions of the solution.

Plot the graph of the steady state solution.

Expert Solution

Colby Messinger answered 1 year ago

Solve the following IVP specifically using the Laplace transform method (d^3)x/d(t^3)+x=e^(-t)u(t) f(0)=0 f'(0)=0 f''(0)=0...

Solve the following IVP specifically using the Laplace transform method (d^3)x/d(t^3)+x=e^(-t)u(t) f(0)=0 f'(0)=0 f''(0)=0 where u(t) is the Heaviside step function

Solve the IVP by applying the Laplace transform:y''+y=sqrt(2)*sin[sqrt(2)t]; y(0)=10, y'(0)=0

Please solve the following: ut=uxx, 0<x<1, t>0 u(0,t)=0, u(1,t)=A, t>0 u(x,0)=cosx, 0<x<1

Solve y"+y=u(t-pi/2)+3 delta(t-3 pi/2)-u(t-2 pi), by laplace transform methods with y(0)=y'(0)=0.

Solve the nonhomogeneous heat equation: ut-kuxx=sinx, 0<x<pi, t>0 u(0,t)=u(pi,t)=0, t>0 u(x,0)=0, 0<x<pi

SOLVE the IVP: (D^2+1)y = e^t, y(0) = -1 and y'(0) = 1. Thank you.

solve this IVP 9y'' +33.33y' +464.21y=8sin(t/4), y(0)=0, y'(0)=.04

Please draw the solution without solve the IVP y"+y=dirac function (t-pi/2) y(0)=0, y'(0) . (Label y(t)...

Please draw the solution without solve the IVP y"+y=dirac function (t-pi/2) y(0)=0, y'(0) . (Label y(t) and t number as well) I need a professional expert to answer this question. (be able to follow the comment) (Show the step for what you need to get for drawing this solution as well)

Solve the Boundary Value Problem, PDE: Utt-a2uxx=0, 0≤x≤1, 0≤t<∞ BCs: u(0,t)=0 u(1,t)=cos(t) u(x,0)=0 ut(x,0)=0

Use the Laplace transform to solve the IVP: y^'''+y^''+3y^'-5y =16e^(-t); y(0)=0; y'(0)=2; y^'' (0)= -4

Question