please solve the initial value problem 3-04 +2=– 1 - 0 3, 39 = 0, v9-5...
Solve the initial value problem y" + 3y' + 2y = 8(t – 3), y(0) = 2, y'(0) = -2. Answer: y = u3(t) e-(-3) - u3(t)e-2(1-3) + 2e-, y(t) ={ 2e-, t<3, -e-24+6 +2e-l, t>3. 5. [18pt] b) Solve the initial value problem y' (t) = cost + Laplace transforms. +5° 867). cos (t – 7)ds, y(0) – 1 by means of Answer:
#6 Solve the initial value problem y(0)- 2, y,(0) 1 y"-3y' + 2y-6(t-3);
# 2 please In Exercises 1-20 solve the initial value problem. Where indicated by CIG-graph the solution. 1. y" + 3y' + 2y = 6e21 + 28(1 - 1), y(0) = 2, y'(0) = -6 2. C/G Y" + y' – 2y = -106-' +58(1 - 1), y(0) = 7, y'(0) = -9 3. y" - 4y = 2e-' +58(1 - 1), y(0) = -1, y' (O) = 2 4. CIG y" + y = sin 3t + 28(t –...
Problem 1: Solve the initial value problems: a 2y" – 3y' +y=0 y(0) = 2, 7(0) = 1 by' + y - 6y = 0 y(0) = -1, y'(0) = 2 cy' + 4y + 3y = 0 y(0) = 1, y'(0) = 0 Problem 2: Solve the initial value problems: a y' +9y = 0 y(0) = 1. 1'(0) = -1 by" - 4y + 13y = 0 y(0) = 1, y'(0) = 3 cy" + ly + ly...
solve all please Homework II By using the method of power Series, solve the initial value problem given by loca+1)y't xy't zy=0 58 = S( = 1. at the ordinary point 36=0 the following system Solve y'+ 2xl-3y = - etsint x-44 +0= ēt cost. verify that y=x+1 is a particule solution of (E): scyl- 2(x+by+2y=0 using the reduction order method. method the general solutions of (E)
2. Use the Laplace Transform to solve the initial value problem y"-3y'+2y=h(t), y(O)=0, y'(0)=0, where h (t) = { 0,0<t<4 2, t>4
5. (11 points) Solve the following initial value problem, y" + 3y + 2y = g(t); y(0) = 0, 7(0) = 1/2 where g(t) = 38(t - 1) + uz(t) Type here to search
Solve the initial value problem. y'" – 3y" - y' + 3y = 0; y(0)=5, y'0) = -3. y'(0)=5 The solution is y(t) =
be quick please 2. Solve the following initial value problem * (8 Puan) = 8x2e-2y, y(0) = 1 dx O y = 1 In(4x4 + f2) O y = In(2x - 1) O y = -48x²e-2y O y = In(4x4 – 3) O y = {In(2x' + e?) O none of these O y = In(4x4 + 5) O y = 2x4 + e-2y+2 O y = In (2x + e)
1. (5 points) Use a Laplace transform to solve the initial value problem: y' + 2y + y = 21 +3, y(0) = 1,5 (0) = 0. 2. (5 points) Use a Laplace transform to solve the initial value problem: y + y = f(t), y(0) = 1, here f(0) = 2 sin(t) if 0 Str and f(0) = 0 otherwise.