ODE problem, very urgent(an upvote is promised). Thank you!
ODE problem, very urgent(an upvote is promised). Thank you! Question 3 [40] Find the solution to...
Hello These are a math problems that need to solve by MATLAB as code Thank you ! Initial Value Problem #1: Consider the following first order ODE: dy-p-3 from to 2.2 with y() I (a) Solve with Euler's explicit method using h04. (b) Solve with the midpoint method using h 0.4. (c) Solve with the classical fourth-order Runge-Kutta method using 0.4 analytical solution of the ODE is,·? solution and the numerical solution at the points where the numerical solution is...
please do not do question 1 but add "Assume...." conditions to #1, thank you, upvote for sure Consider the heat equation on "half-line" 0 <<< with prescribed zero temperature at x = 0 U = kuzx (0,t) = 0, ,0) = f(x) [the initial temperature). Find solution of this boundary value problem in the form u(x, t) = G(x – y, t) – 6(x + y,0)) f(y)dy, where G(x, t) = ome. Hint: Extend f(x) as an odd function f(x)...
any help on these two questions please?? 4.4: Let 1 0 1 and b(t)- -1 1 0 (a) Find the general real solution of the linear ODE (t) A(t). (b) Find the general real solution of the linear ODE x(t)-Ax(t) + b(t). (c) Solve the initial value problem x(t) = A2(t) + b(t), x(0) = (-2,0,2)T 4.5: Determine the general solution of the ODE x"(t)-x"(t)-r(t) + x(t) = t cost. 4.4: Let 1 0 1 and b(t)- -1 1 0...
need this urgent please thank you very much Problem 4 Find all the statistics measures for the vector X . Check if there is any correlation between the variables X and Y with two ways. Provide the linear equation. For the first element find the residual. What is the value of X which corresponding to Y-21? The two variables data given by the next two vectors X-(1,2,3,4,5) and Y (4,9,14,16,22).
5. Repeat the same questions in 4.) for the ODE Py"- tt+2)y+(t+2)y2t3, (t>0) (a) Find the general solution of the homogeneous ODE y"- 5y +6y 0. Particularly find yi and (b) Find the equivalent nonhomogeneous system of first order with the chan of variable y (c) Show that (nvand 2( re solutions of the homogeneous system of ODEs (d) Find the variation of parameters equations that have to be satisfic 1 for y(t) vi(t)u(t) + (e) Find the variation of...
Would someone help me with the last 3 questions here, I got the previous ones but need help with the last 3 in red. Thank you Transcribed: Now that you nd a rst order system of ODEs, you can solve it using the Huens method ac- cording to the material you covered in computational module 2. A template of the code which will help you to get started is also available. Attach the complete code as a pdf page to...
Problem #3: The Ralston method is a second-order method that can be used to solve an initial-value, first-order ordinary differential equation. The algorithm is given below: 2 Yi+1 = yi + k +k2)h Where kı = f(ti,y;) 3 k2 = ft;+ -h, y; +-kih You are asked to do the following: 3.1 Following that given in Inclass activity #10a, develop a MATLAB function to implement the algorithm for any given function, the time span, and the initial value. 3.2 Use...
How to do question B 2,3,4,5? 3. a) Find the solution v ote ordinary diferetinl equation with the initial coditions: b) i) Recast our third ord ODE into a system af first order ODEs af the formA.v, where v' = dv/dz f(v) and v = (y, y,y")". You should show all working to find the corresponding matrix A. Do not solve the system. 4 mark Solve it only by hand and show your complete work. Do not use a calculator...
Question 2: Differential Equations a) (3 points) Find the general solution to the equation. Use C,C1,C2 ... to denote arbitrary constants as necessary. y"(t) = sin6t + 20e b) (5 points) Solve the following separable differential equation for the given initial condition. y')= (1) = 0 c) (5 points) Solve the following first-order linear differential equation for the given initial condition. y't) + 7y - 3,y(0) - 1 d) (2 points) State the equilibrium solution and whether it is stable...
please give the correct answer with explanations, thank you Find a particular solution, yp(), of the non-homogeneous differential equation d2 y (2) +6 (de y(x)) +9y (x) = -12 , d22 given that yn (r) = A e-31+B 1 e 30 is the general solution of the corresponding homogeneous ODE. The form of yp() that you would try is Yp = ax + 6 yp = 2040 O yp=0x2-32 Enter your answer in Maple syntax only the function defining yp()...