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6 and 7 please! You will help me alot! o 6. Solve the initial value problem....
7. Solve the initial value problem --( y = -1 00 when the initial value is given as following: and discuss the behavior of the solution as t (you may sketch the solution curve.) (a) X(0) = (0,0.5). 7. Solve the initial value problem --( y = -1 00 when the initial value is given as following: and discuss the behavior of the solution as t (you may sketch the solution curve.) (a) X(0) = (0,0.5).
please show all steps , thank you 6. Consider the initial value problem y" + 2y' + 2y = (t – 7); y(0) = 0, y'(0) = 1. a. Find the solution to the initial value problem. (10 points) b. Sketch a plot of the solution for t E (0,37]. (5 points) c. Describe the behavior of the solution. How is this system damped? (5 points)
please help with entire question 7(0) = -5. Consider the initial value problem 47" + 28y' +49-0, (0) - 1, (a) Solve the initial value problem. X(t) Plot its solution for osts 5. (A computer algebra system is recommended.) (b) Determine where the solution has the value zero. (c) Determine the coordinates (to, Yo) of the minimum point. (to yo)-( (d) Change the second initial condition to y(0) -b and find the solution as a function of b. Xt) Find...
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...
Please solve both questions please. Solve the given initial value problem. y'"' + 11y'' + 38y' + 40y = 0 y(0)= 0, y'(0) = 10, y''(O) = - 72 y(x) = Find a general solution for the given differential equation with x as the independent variable. y(4) + 6y'' +9y = 0 A general solution with x as the independent variable is y(x) =
can someone help me to solve this question 5 Question#5 a) Solve the following initial-value problem: (2xcos y + 3x’y)dx +(x? – x’sin y- y)dy =0, where y(0) = 2. [5 marks] b) Find the general solution to the following differential equations: [5 marks] [5 marks] dx
Solve the initial value problem :-( 17.00 (3) and describe the behavior of the solution as t - 00
Help me plss!! 3. Consider the initial value problem dy Solve the initial value problem for є-0, to obtain y(t)-3e-21 Using the method of perturbations, setting y yoey, find the first-order correction, y,(t), for the initial value problem with € 0 and є is a small parameter.
Please help me complete this problem!!! Thank you and please write neatly!!! (c) Consider the following general second order linear initial value problem with linear variable coefficient:s (at +bi)y"+(at +b'+(ast+bs)y 0, y(0) (00 Use the Laplace Transform to find the ODE that is satisfied by Y(s) y(t)s). What is the order of the new equation? What can you say about the solution to this equation? What can you say about the solution to the original equation? (c) Consider the following...
Differential Equation Please answer both of the questions below Thanks! Solve the given initial value problem. y'' + 36y = 0; y(0) = 3, y'(O) = 5 x(t) = Find a general solution to the differential equation using the method of variation of parameters. y'' + 2y' +y=2e -t The general solution is y(t) = .