2. Using Laplace transform, solve the system of differential equations d.x: dy dt where x(0)1 2. Using Laplace transform, solve the system of differential equations d.x: dy dt where x(0)1
I entered the equation into wolfram aloha, but it does not solve for the constants. i think i need the constants, how do i go about finding them? the initial-value problem for the first 1/5 second: 1600x" +9500x' + 20000x = 40500(t-5) 2. Use a computer program or computing algebra system (CAS) calculator to find the particular solution that gives the displacement of the gun tube assembly with respect to time for the first 1/5 of a second
3. Without using a calculator (or Wolfram Alpha), determine all solutions of 22 - (8 + 2i)z +19+8i = 0. (Hint: Use the quadratic formula.)
Q.1 Solve the following differential equation in MATLAB using solver ‘ode45’ dy/dt = 2t Solve this equation for the time interval [0 10] with a step size of 0.2 and the initial condition is 0.
Using Wolfram Mathematica to solve the problem (1) Given the two vectors u = <6, -2, 1> and v = <1, 8, -4> Find u x v, and find u V a) b) Find angle between vectors u and v. c) Graph both u and V on the same system. d) Now, graph vectors u, V and on the same set of axes and give u x V a different color than vectors u and V. Rotate graph from part...
2. Solve dc dt dy dt dc + 2 dy dt = 0 dt subject to (0) = 0, y(0) = 0
Solve the system of differential equations using Laplace transformation dx dy dt - x = 0, + y = 1, x(0) = -1, y(0) = 1. dt You may use the attached Laplace Table (Click on here to open the table) Paragraph В І
Matlab Code for these please. 4. Using inbuilt function in MATLAB, solve the differential equations: dx --t2 dt subject to the condition (01 integrated from0 tot 2. Compare the obtained numerical solution with exact solution 5. Lotka-Volterra predator prey model in the form of system of differential equations is as follows: dry dt dy dt where r denotes the number of prey, y refer to the number of predators, a defines the growth rate of prey population, B defines the...
solve the following using laplace transform dy dt 3y(t) = e4t; y(0) = 0
3. Solve the following problem from t 0 to 1 with h-1 using 3rd order RK method: dx dt dy dt bay where (0)-4 and x(0)- 0. 3. Solve the following problem from t 0 to 1 with h-1 using 3rd order RK method: dx dt dy dt bay where (0)-4 and x(0)- 0.