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6 3. Consider x = [<1 %)* 3. Consider x' = | (a) Find the general...
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...
find the inverse z transform X(z) = 1-2-3 with [2]<1
6. Consider a random variable X with pdf given by 0 elsewhere. (a) What is c? Plot the pdf. (b) Plot the cdf of X. Find P(X 0.5< 0.3).
3. Consider the system of equations: x' = ( 1 3 | -1 6 -2 * (a) [4 pts) Find the general solution. (b) [4 pts) Find the critical points or equilibrium solutions. Plot a few representive trajectories of the system in the phase plane. Indicate the direction of each trajectory using arrows.
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...
Problem 3 (5 pts). Find solution to = 4uxx -00 <1 00 - <t<oo, cos(x), [17 ut-o = 19191919 Remark. Solution should be represented in the form of the appropriate Fourier integral
Consider that a CT system with unit impulse response h(t)=u(t) is excited by the input signal defined as 0,<-3 t +3,-3<t < 0 x(t) = { t -- +3,0 < t < 6 0,t> 6 Find the output of the system and plot it. (10 points)
10 Find two solutions of the equation sin x =--for 00 < χ
Suppose that NoP(X5)6 and P(X 2):2 find P( 3< X < 4).
Find the general solution. 11. r'(t) = (1 -3)<< (t)