PROBLEMSIn each of Problems 1 through 6: (a) Find the general solution of the given system of equ...

Question

Question

PROBLEMSIn each of Problems 1 through 6: (a) Find the general solution of the given system of equations and describe the beha

Pls Solve 1 and 4 only!!

math Other-Math

Answer 1

Answer #1

3-λ det(A- ): h2n2 오n let n2=2 hn eauat、ons Solution of Glene?! at The 오 2 (A-AT) dat :。 2. letn 4 The Cnonenal Solution i6 오t

Answer 2

Similar Homework Help Questions

6 3. Consider x = [<1 %)* 3. Consider x' = | (a) Find the general...

6 3. Consider x = [<1 %)* 3. Consider x' = | (a) Find the general solution to the system and describe the behavior of the solution as t + +00 (b) Draw a direction field and plot a few trajectories of the system.
16 Please help me solve the following Differential Equations problem Consider the following. (A computer algebra system is recommended.) x-(-1か 1 -4 (a) Find the general solution to the given sys...

16 Please help me solve the following Differential Equations problem Consider the following. (A computer algebra system is recommended.) x-(-1か 1 -4 (a) Find the general solution to the given system of equations x(t) = Describe the behavior of the solution as t O The solution diverges to infinity for all initial conditions. The solution tends to the origin along or asymptotic to 4 --) or asymptotic to ( O The solution tends to the origin along O The solution...
Find the general solution of the system of equations and describe the behavior of the solution...

Find the general solution of the system of equations and describe the behavior of the solution as t→∞: 1. Find the general solution of the system of equations and describe the behavior of the solution as t → 00: 2 (a) x (+1)=(x = (* =3)* (c) x' = х -1

Chapter 3, Section 3.3, Question 02 Consider the given system of equation. 2 -4 X 6 -8 (a) Find the general solution of...

Chapter 3, Section 3.3, Question 02 Consider the given system of equation. 2 -4 X 6 -8 (a) Find the general solution of the given system of equation 1 +c2e2t VI The general solution is given by X (t) = ci where V2. |and 21 >A2 =| ; vi = and v2 (b) Draw a direction field and a phase portrait. Describe the behavior of the solutions as t - o. 1) If the initial condition is a multiple of...
problem 6 please! In each of Problems 1 through 12 find the general solution of the...

problem 6 please! In each of Problems 1 through 12 find the general solution of the given system of equations. 13 1. X' X+ 2. x' = X + 3 13 e 1 2 COST -2t 3. x' = X+ ( 4. x' = X + ( 1 sint 4 –zet 4 5. x' = X+ t> 0 8 -4 65-7-2)*+(24) t> 0
8 In each of Problems 7 through 9, find the general solution of the given system...

8 In each of Problems 7 through 9, find the general solution of the given system of equations. 2 7. x' = 2. 2 1 1 1 1 1 3 2. 4 2x 8. X' = 0 2 4 2 3

In each of Problems 1 through 4 draw a direction field for the given differential equations....

In each of Problems 1 through 4 draw a direction field for the given differential equations. Based on the direction field, determine the behavior of y as t → +∞. If this behavior depends on the initial value of y at t = 0, describe this dependency. 1. y ' = 3 + 2y 2. y ' = 3 − 2y 3. y ' = −y(5 − y) 4. y ' = y(y − 2)2
3. Consider the system of equations: x' = ( 1 3 | -1 6 -2 *...

3. Consider the system of equations: x' = ( 1 3 | -1 6 -2 * (a) [4 pts) Find the general solution. (b) [4 pts) Find the critical points or equilibrium solutions. Plot a few representive trajectories of the system in the phase plane. Indicate the direction of each trajectory using arrows.
In each of the following problems, find the general (real) solution of the given system of...

In each of the following problems, find the general (real) solution of the given system of equations. -3 0 2 b) x = (1 -1 0x -2 -1 0

Number 8 In each of Problems 7 through 10, draw a direction field for the given...

Number 8 In each of Problems 7 through 10, draw a direction field for the given differential equation. Based on the direction field, determine the behavior of y ast oo. If this behavior depends on the initial value of y at t 0, describe this dependency. Note that in these problems the equations are not of the form y ay+b, and the behavior of their solutions is somewhat more complicated than for the equations in the text.