pl t(+8 – 5) Solve the initival value problem: - 5 = '24-, J) rl =...
Solve the initial value problem y" + 3y' + 2y = 8(t – 3), y(0) = 2, y'(0) = -2. Answer: y = u3(t) e-(-3) - u3(t)e-2(1-3) + 2e-, y(t) ={ 2e-, t<3, -e-24+6 +2e-l, t>3. 5. [18pt] b) Solve the initial value problem y' (t) = cost + Laplace transforms. +5° 867). cos (t – 7)ds, y(0) – 1 by means of Answer:
Problem 8-Select the value of R in Figure 9 so that REQ = RL. REQ ㄈ 4R Ω RL Ω Figure 9
Solve the initial value problem for r as a vector function of t. dr Differential equation: of = -7t i-5t j - 3t k Initial condition: r(0) = 7i + 2+ 3k r(t) = (O i+();+ ( Ok
Math 216 Homework webHW9, Problem 8 Solve the initial value problem " 12x 36x -(t - 5) - 6), x(0) -1,x' (0) 1 (or2 0).
„Problem 5: Given the circuit below 40 12 20 V 3R₂ vo {RL (2) In the voltage-divider circuit shown above, the no-load (R_L is not connected) value of v_o is 4 V. When the load resistance R L is attached * ?across the terminals a and b, v_o drops to 3 V. What is the value of RL 020 O 0 24 O 0 36 O 016
(a) Solve the initial value problem 2" +2r' + r = 8(t - 2), z(0)=1, 2'0) = 2 (b) Consider the initial value problem -2 -5 z(0) = 3 Find ö(t), writing your answer as a single vector. k 2 k 0 1] (c) Consider the matrix 0 -2 k 3 i. Compute the determinant. ii. For what value(s) of k does A exist? iii. For what value(s) of k does the linear system A7 = 7 have nontrivial solutions?...
2. Solve the initial-boundary value problem One = 48m2 for 0 < x < 8, t > 0, u(0, t) = u(8,t) = 0 for t > 0, u(2,0) = 2e-4x for 0 < x < 8. (60 pts.)
solve Problem #4 VCE = 8 +0.7=6 8.7V Rsig RL=0 VA 150 + 10 (1+12 170 V ſo=100 15V o www 0.1 uF NCE Vi No & skr ਫੀਸਦ · e) End Avo Ri Ro Perid by fond R c) fund small signal small signal circuit. parameters
If Euler's method with h .5 is used to solve the initial value problem: and the actual solution to the problem is y = e-t+t, find the maximum possible error for estimating y(5) using the error formula for Euler's method. If Euler's method with h .5 is used to solve the initial value problem: and the actual solution to the problem is y = e-t+t, find the maximum possible error for estimating y(5) using the error formula for Euler's method.
4. Solve the initial, boundary value problem by the Fourier integral method. u (0,t)0, u(r,t) bounded as-00 4. Solve the initial, boundary value problem by the Fourier integral method. u (0,t)0, u(r,t) bounded as-00