Consider a system with m = 100, c = 100 and k = 400. If y(t) = 3sin(1.5t), determine x(t) and ft(t).
I don't have a picture handy but the equations for the system turn out like this.
mx''+cx'+kx = cy' + ky
Transfer function = x/y = cy' + ky / mx'' + cx' + kx
then w/a laplace...
I mean that in this case law of cosines would be required to find A
so i can't reduce the homogeneous solution by the method i was given (A = sqrt(B1^2+B2^2) , so I'm wondering if i made a mistake beforehand.
;]
x''+x'+2x=0 x(0)=2 x'(0)=0
I've taken the characteristic equation and reduced the roots to
1/2 +- Sqrt(7/4)i of the form
a +- bi (i = sqrt(-1)
Then i put the homogeneous solution into the form of e^{}at*(B1cos(bt)+B2sin(bt))
for B1 i used the first i.c. and found that B1=2...
uh, apparently i need the proof in the form of c1y1+c2y2 = f and Lf=y. in this case do i need to use method of undetermined coeffecients with the y(x)=x+ax^2 ?
Homework Statement
I need to prove that a Fredholm equation of the second kind is functionally linear.
I'm not sure what functional linearity is or if that's exactly what is being asked because it's not in my numerical analysis book and everytime i look on the internet I'm referred to linear...
Homework Statement
A 21.0 \mu F capacitor is charged by a 160.0-{\rm V} power supply, then disconnected from the power and connected in series with a 0.220-{\rm mH} inductor.
Calculate the energy stored in the capacitor at time t = 0{\rm{ ms}} (the moment of connection with the inductor)...
Homework Statement
y''-by'=f(x)
I have to "derive and submit the appropriate initial value problems (with initial conditions) for u(x) and v(x). Show me all 4 equations and initial conditions... "
and I know you get u(x) and v(x) by solving ivp's for the original equation, one...
Homework Statement
Here's my code
clc
clear
n=10
a=input( 'initial guess for a ');
b=input( ' initial guess for b ');
C= input( ' initial guess for Steady State Concentration ');
d=[a
b
C]
while n>0
t=[3
9
12
18
24
300
]...