(1 point) Find the general solution, y(t), which solves the problem below, by the method of...
(1 point) Find the general solution, y(t), which solves the problem below, by the method of integrating factors. 8t4y+y=+", t>O Put the problem in standard form. Then find the integrating factor, u(t) = and finally find y(t) = 1/80 . (use C as the unkown constant.)
(1 point) Solve the initial value problem 13(t+1) 94 – 9y = 36t, fort > -1 with y(0) = 10. Put the problem in standard form. Then find the integrating factor, p(t) = and finally find y(t) = 1
For #1 and #2, find the general solution of the ODE system tX' = AX, t> 0. (You do NOT need to verify that the Wronskian is nonzero.) 1. A= ( 1)
Find a general solution to the given Cauchy-Euler equation for t> 0. 12d²y dy + 2t- dt - 6y = 0 dt² The general solution is y(t) =
(1 point) Find the inverse Laplace transform of 2s + 9 $2 + 23 S> 0 y(t) =
Not sure how to apply integrating factor! Thank you in advance! Use the integrating factor method to find y solution of the initial value problem y' = - y + 5t, t > 0. y(0) = -3 (a) Find an integrating factor µ. If you leave an arbitrary constant, denote it as c. u(t) : Σ ce^t (b) Find all solutions y of the differential equation above. Again denote by c any arbitrary integration constant. y(t) Σ (c) Find the...
Consider the signal x(t) = te-atu(t), a > 0 Find to = 1.00 /*(t)?|dt Find to = 10lx(t)2|dt Can simplify to → %*tx?(t)dt x2(t)dt
Q4 a) Find the general solution of the differential equation Y') + {y(t) = 8(6+1)5; 8>0. Y'8 8 >0. 8(8-1)3 b) Find the inverse Laplace transform y(t) = £ '{Y(3)}, where Y(s) is the solution of part (a). c) Use Laplace transforms to find the solution of the initial value problem ty"(t) – ty' (t) + y(t) = te, y(0) = 0, y(0) = 1, for t > 0. You may use the above results if you find them helpful....
Problem 07.055 - RL circuit with dependent source Find y(t) for t= 0 and t> 0 in the given circuit. Assume L = 1.5 H. 32 § 89 4ie A 20 200 24 V 20 V + V. The voltage for t = 0 is The voltage for t> 0 is v(t) = ett u(t) v.
IF Let x(t) Show that e 20" σ>0, and let (o) be the Fourier transform of x(t) .