linear diff eq. use variation of paramters
linear diff eq. use variation of paramters 1 2 0 3. X'= 1 X+ 1 e'...
number 3 use variation of parameters for homogeneous linear systems 02 1 2. X'= 1 1 -2 X 2 2 -1 1 2 0 3. X' = X+ 1 e tant 2
diff eq the problem states that to solve the given linear initial-value problem use the power series method. please include intermediate steps (x² - 1)y"+ 3xy + xy = 0, y(0) =4 , y'(0) = 6
Name: MAT 214- Diff. Eq. and Series Assi gnment: Section 4.3 Homogeneous Linear Equations With Constant Coefficients. 1. Verity that (e, et) is a fundamental set of solutions of the differential equation ay" + by'+ cy 0 0 is greater than 0. precisely when the discriminant of the auxiliary equation ak2 + bk+ c
X = X, +*2+1 solve general solution of linear system of NON-hams geneous Diff Equation
Find the general solution of the following diff eq: xdy/dx-3y-2x^5=0 y(1)=4
please help in any of these in diff eq in Trigonometric Fourier Sine Series and Trigonometric Cosine Series Homework Problems for Handout Sheet 25 In Problems 1 to 4, determine the Fourier Sine Series that converges to the given function at each of its points of continuity 0 when 0x<1/2 1. f(x)=when 1/2<x<1' flx+2)= f(x). 0 when 4<x<-2 2. f(x)={2 when 0<x<1 , f(x+8)= f(x). 1 when 1<x<2 3. f(x) 2-x when 0<x<27, f(x+47)=f(x) 4. f(x) 7-x when 0<x<47, f(x+87)=...
Need help with diff eq Determine the general solution of the given differential equation (Show your work) 2x2y" – 4xy' +10y = 0 a) y = (x3 + c2x-1 b) y = (C1 + czln|x1)x3 c) y= claſicos ($71 In[xl) + cz|xpă sin ("ZI Inļxl) d) y = cz|x|3 cos ("7 In[xl) + cz|xl sin (977 1n\xl) e) y = cz\x{* cos(v11 In[xl) + czlxpă sin(V11 In[xl)
The input and output of a causal LTI system are related by the diff. eq: d^2y(t)/dt^2 + 5dy(t)/dt + 6y(t) = 2x(t) a. Find impulse response of the system b. What is the response of the system if 2x(t) = e^(-2t)u(t)
Use variation of parameters: 4. (D^2 + 2D +2)y = (e^-x) csc(x)