Please do like
Given the differential equation dc dt +2.x = t? – t+1, (1) = 2 the value...
I need this question answer quickly thank you all 1. Given the differential equation da + 2x = 12-<+1, x(1) dt the value of x(2) is 87 91 b) 48 48 a) c) 33 16 d) 33 16 e) None of these Ķ CLETA ution
Find the time constant t of the following differential equation: a(dy/dt)+by+cx=e(dx/dt)+f(dy/dt)+g, of the given that x is the inout, y is the output, and a through g are constants. 13, Find the time constant τ from the following differential equation, dt dt given that x is the input, y is the output and, a through g are constants. It is known that for a first-order instrument with differential equation a time constant r- alao dy the 13, Find the time...
Consider the differential equation dy dt = t - 2 According to the differential equation, what is the value of y (0)? Question 3 Consider the differential equation dy dt = t - 2 and the given information y(0) = 1. Select the figure that shows the correct graphical representation of y' (O). 0 O 3 y 21 + -2 y 2 1 2 1 2 A z -1 O 3 y 2 X 2. z -1 O 3 2+...
solve please 8 Sketch the direction field of the differential equation dx dt Verify that x t-1 Ce is the solution of the equation. Sketch the solution curve for which x(0) 2, and that for which x(4) 0, and check that these are consistent with your direction field. MAPI R has tools for exam 8 Sketch the direction field of the differential equation dx dt Verify that x t-1 Ce is the solution of the equation. Sketch the solution curve...
(2) a) An RLC circuit has the following differential equation (DE) for t > 0. d’v(t)/dt + 10 dv(t)/dt + 16 v(t) = 0) Determine the value of the damping ratio 5, the type of damping, and the form of the natural response for t > 0. Include all values where possible. (7 pts.) b) An RLC circuit has the following differential equation (DE) for t> 0. d’i(t)/dt? +4 di(t)/dt + 9 i(t) = 0 Determine the value of the...
solve please as soon as possible 24) Solve the ordinary differential equation: 1 + 2 dt? dt + 5y = e sint, given that when t=0: y=0, and x = 1
Given the following differential equation for some plant, dy +7.+ 15y = 2x(t) dt dt a. Find the steady-state output for a unit-step input. b. Find the step response of the plant; that is, solve for the output if the input is a step function, x(t) = u(t).
aliasing? A continuous-time system is given by the input/output differential equation 4. H(s) v(t) dy(t) dt dx(t) + 2 (+ x(t 2) dt (a) Determine its transfer function H(s)? (b) Determine its impulse response. (c) Determine its step response. (d) Is the stable? (a) Give two reasons why digital filters are favored over analog filters 5. (b) What is the main difference between IIR and FIR digital filters? (c) Give an example of a second order IIR filter and FIR...
2.14. For each differential equation given below, find the solution for t 2 0 with the specified input signal and subject to the specified initial value. Use the general solution technique outlined in Section 2.5.4. of y (t) dt2 dy (t) dy (t) , た0 dy (t) dt22 t 4-t2 + 3 y (t)-x(t) , dP2+3y(t) =x(t), x(t)=u(t), y(0) = 2 dt22+2dy(2+y(t)=x(t) , x(t) = e-2t u (t), x (t) = (t+ 1) u (t) , y (0)--2 dy (t)...
Use Laplace transforms to solve the given differential equation: d²x dt? + 100x = 0, given x(0) = 2 and x'(0) - 0