I AM REALLY STRUGGLING ON THIS PROBLEM PLEASE HELP ME CORRECT AND NEAT WORK IS MUCH APPRECIATED THANKS
The differential equation of a damped harmonic oscillation is given as:
where b is called the damping constant, and the oscillation is overdamped, underdamped, or critically damped according to:
Now, we can use the above conditions to solve our problem. We are given the equation
Thus, here b = 4, k = 7
Now, the motion is given to be overdamped, hence we must have
Thus, the range of values of m for which the motion will be underdamped is
write (-inf,16/7) in the answering box
I AM REALLY STRUGGLING ON THIS PROBLEM PLEASE HELP ME CORRECT AND NEAT WORK IS MUCH...
I AM REALLY STRUGGLING ON THIS PROBLEM PLEASE HELP ME CORRECT AND NEAT WORK IS MUCH APPRECIATED THANKS (1 point) Find the most general real-valued solution to the linear system of differential equations ' x1 () = C1 + C2 x2(t)
I AM REALLY STRUGGLING ON THIS PROBLEM PLEASE HELP ME CORRECT AND NEAT WORK IS MUCH APPRECIATED THANKS = (1 point) Find the solution to the linear system of differential equations 28x - 90y 9x – 29y satisfying the initial conditions x(0) = -14 and y(0) = -4. y! x(t) = yt) =
STRUGGLING WITH THESE TWO SETS OF PROBLEMS ID APPREACIATE THE CORRECT ANSWERS THANKS (1 point) If the differential equation m dax + 8 dx dt2 dt + 3x = 0 is overdamped, the range of values form is? Your answer will be an interval of numbers given in the form (1,2), (1,2), (-inf,6), etc. (1 point) Find y as a function of t if y" - 6y + 8y = 0, y(O) = 5, y(1) = 4. yt) = Remark:...
I AM REALLY STRUGGLING ON THIS PROBLEM PLEASE HELP ME CORRECT AND NEAT WORK IS MUCH APPRECIATED THANKS (1 point) Find y as a function of t if y" - 8y + 12y = 0, y(0) = 3, y(1) = 9. yt) = Remark: The initial conditions involve values at two points.
I AM REALLY STRUGGLING ON THIS PROBLEM PLEASE HELP ME CORRECT AND NEAT WORK IS MUCH APPRECIATED THANKS (1 point) a. Find the most general real-valued solution to the linear system of differential equations ' = 1 x1 (1) = C1 + C2 x2 (1) b. In the phase plane, this system is best described as a source / unstable node O sink / stable node O saddle center point / ellipses O spiral source O spiral sink O none...
I AM REALLY STRUGGLING ON THIS PROBLEM PLEASE HELP ME CORRECT AND NEAT WORK IS MUCH APPRECIATED THANKS (1 point) a. Find the most general real-valued solution to the linear system of differential equations *' = [- xi(t) = C1 + C2 x2 (1) b. In the phase plane, this system is best described as a O source / unstable node O sink / stable node O saddle O center point / ellipses spiral source O spiral sink O none...
I AM REALLY STRUGGLING ON THIS PROBLEM PLEASE HELP ME CORRECT AND NEAT WORK IS MUCH APPRECIATED THANKS (1 point) Match each linear system with one of the phase plane direction fields. (The blue lines are the arrow shafts, and the black dots are the arrow tips.) ? 1. y' = 3 ? ? v 25 = 6: -3); 1.5% = [1]; А B it ET
Problem 2. (1 point) If the differential equation dx m dt2 *sor + 8x = 0 dt is overdamped, the range of values form is? Your answer will be an interval of numbers given in the form (1,2), (1,2), (-inf,6), etc.
I AM REALLY STRUGGLING ON THIS PROBLEM PLEASE HELP ME CORRECT AND NEAT WORK IS MUCH APPRECIATED THANKS (1 point) Consider the linear system 3'=[} }); a. Find the eigenvalues and eigenvectors for the coefficient matrix. EL and 12 = b. Find the real-valued solution to the initial value problem y! 3yı + 2y2, -5yı - 3y2, yı(O) = 5, y2(0) = -5. Use t as the independent variable in your answers. yi(t) = y2(t) =
(1 point) If the differential equation d2x m 7 dx dt + 8x = 0 dt2 is overdamped, the range of values for m is? Your answer will be an interval of numbers given in the form (1,2), (1,2), (-inf,6], etc.