problem 6 please! In each of Problems 1 through 12 find the general solution of the...
Pls Solve 1 and 4 only!! PROBLEMSIn each of Problems 1 through 6: (a) Find the general solution of the given system of equations and describe the behavior of the solution as t → 00 (b) Draw a direction field and plot a few trajectories of the system. 3 -2 2 -2 2, x' = 3 -2 PROBLEMSIn each of Problems 1 through 6: (a) Find the general solution of the given system of equations and describe the behavior of...
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
Help its for my Final Homework Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 3x - 4y + sint y' = 2x-y-cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. sint sint 10 cost + CA. y(t) = C, e cos 2t + Czesin 2t + 10 -cost 10 9 3 O B. y(t) = C, e -...
y(t) is INCORRECT but x(t) is CORRECT DIFFERENTIAL EQUATIONS / Linear Algebra Only people that are proficient in DIFFERENTIAL EQUATIONS should even attempt to solve. No beginners or amateurs allowed. Please write clearly and legibly. No sloppy Handwriting. I must be able to clearly and easily read your solution and answer. Circle final answer. BELOW is an example of what the answer should look very similar to. should be in the same form basically. example 7.10.4 Question Help Use the...
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
This is a differential equations course, please answer all the questions. Find the general solution. 1 1 6. x'(t) = 1 2 -8 -1 :(t) 1 -5 -3 3 2 4 7. z'(t) = 2 0 2 *(t) 4 2 3 1 -1 2 8. :'(t) 2 11. I't) 3.-0 9. z'(t) = (3 =) =(8) 10. z'(t) = (1' -1)=() = ({ -2)=(6) -1)=(0) -3)=66 14. z'(t) = (-; -1)=() 2)- 12. z't) 13. :') 5 15. z'(t) =...
This is a differential equations course, please answer all the questions. Find the general solution. (3 2 4) 7. r(t) = 2 ) 2|r(0) 1 2 3 1 8. r"(t) = 3 2 =1 7 1 -1|rt) 3 9. :'(t) = -) (8) 10. : (t) = (1 =1)=(8) 11. : () = (1 -5) (4) 12. r"(t) = 13. x (t) = (5 -3) (2) 14. = (4) = (2 ) = (4) () 0 15. 7"(t) = 1:...
please answer both (12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0 (12(8 pts) Find parametric equations of the line through the point (2,...
Find a particular solution to the following equations Problem 1: Find a particular solution to the following equations +y= t + sint + 1let + Již + y = 2t sint dy-4d4 = e2t + + +5+ + 4 dt5
This is a differential equations course. Please answer all questions. Find the general solution Problem 1 Find the general solution 1. ༧(༩) = ( 2) -t (0 2. r (t) = [1 1 0 1|z(4) 1 (0) 3. ༧(༩) = (I i) -(8) ) = ( 2+) •(4) 4. z(t) = 1 5. z(t) = [1 2 12 2 11=(2) 1 1 6. +(t) = 1 2 =5 1 1 = 1 -11+(t) =9 ) - 324 2 0 2]...