5(2)t= 4
2t= 4/5
Taking log both sides
t log 2= log(4/5)
t= log (0.8)/log (2)
t= - 0.322
Find the solution fort in the equation 5(21)=4. O t= -0.322 Ot=0.861 O t= -0.861 Ot=0.322
Solve T (t) = Toele) fort. N Ot= 400 n(T - To) 400 in To Ot= Ot= 400T kТО Ot= k 400 In To
Solve the initial value problem with 4 x'(t) = A, fort > O with x(0) = Classify the nature of the origin as an attractor, repeller, or saddle point of the dynamical system described Ax=b. Find the directions of greatest attraction and/or repulsion. x(o)= [1] A-[18 -16] -2 - 4 10 -16 2 -120 1 a. x(t)= (0,0) is a saddle point 5 2 120 b. x(t)= 1 + 6 le -61 (0,0) is an attractor 5 C. x(t)= o[1]...
4. (5 pts) Find the equation of motion in the form x()-Acos(ot -5) for a sprin and system by estimating values for A, 4. (5 pts) Find the equation of motion in the form x()-Acos(ot -5) for a sprin and system by estimating values for A,
1) For the circuit below, a) Find i(t) fort > 0 b) Find vu(t) fort > 0 [you can do this by using your answer to part a) and the relationship between voltage across an inductor and current through an inductor] c) Plot your answers to parts a) and b) on separate plots. I lists to V. (4) 2H 2) For the circuit below, if the capacitor is fully discharged for t < 0, a) Find i(t) fort 0 you...
Find the general solution 1 o 9X OT O -
This is a E-Math class 3. Find the general solution of the equation (4) t y(3) = t. 3. Find the general solution of the equation (4) t y(3) = t.
please solve number 5 only #4 Find i(t) fort <0 and > 0 for the following circuit (pts. 20) 1 = 0 40 Ω 30 Ω 20 V 3F: ΤΣ 0.5i 50 Ω #5. Determine vc, le and energy stored in the Capacitor and inductor in the following circuit under DC condition. 8 Ω (pts. 20) + Τι c 2F 10A 4Ω ele 0.5 Η 5Ω
3. Find a solution to the following differential equation y" + y = sec3 t 5 t-2. 3. Find a solution to the following differential equation y" + y = sec3 t 5 t-2.
1. For the circuit shown in Figure 1 below, find the equation for valt) fort >0. Extra Credit: Find the time constant (T) and indicate how long it will take to fully discharge the capacitor voltage. Hint: You have to draw the following circuits at: t=0-, t=0+, RTH to ma 3r V (1) 4 9A SF 5 Figure 1
4. Find the steady state periodic solution, Xsp(t) of the following differential equation. x" + 5x F(t), where F(t) is the function of period 21 such that F(t) = 18 if 0 <t<n and F(t) = -18 if n<t<21.