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Question 2 > Solve y' + 4y' + 8y = 0, y(0) = 1, y'(0) = 6 g(t) = The behavior of the solutions are: O Steady oscillation O Oscillating with decreasing amplitude O Oscillating with increasing amplitude
Question 2 < > Solve y"' + 4y' + 8y = 0, y(0) = 1, y'(0) = 6 g(t) = The behavior of the solutions are: O Steady oscillation O Oscillating with decreasing amplitude o Oscillating with increasing amplitude
Done Homework 5.2 Score: 4.5/7 4/7 answered 6 VOO Question 5 < 0.5/1 pt 52 98 Details Solve y” – 2y' + 2y = 0, y(0) = -1, y'(0) = 3 g(t) = The behavior of the solutions are: Oscillating with increasing amplitude Steady oscillation Oscillating with decreasing amplitude
Solve y"' + 4y = 0, v(©) = 1, v" ) = -2 s(t) = Preview Get help: Video Points possible: 2 Unlimited attempts. Submit
Solve y"? + 169 = 0, y(5) = 3, y' ( 1 ) = 8 g(t) = Preview
Solve y' = 12xy – 2x, y(0) = 8 y(x) = Preview
9. Solve - cos(x) for 0 <x < 27, t > 0 ax2 at2 y(0, t) y(27, t) = 0 for t 0 y(x, 0) y(x.0)= 0 for 0 <x < 27. at Graph the fortieth partial sum for some values of the time. 11. Solve the telegraph equation au A Bu= c2- at ax2 at2 for 0 x < L, t > 0. A and B are positive constants The boundary conditions are u(0, t) u(L, t)=0 for t...
Solution steps plz k=0 x"+x=Ž8(t-2k1) 1. Solve the IVP x(0)=0, x'(0) = 0 and discuss the behavior of the oscillator's amplitude when t → 00.
Consider the differential equation y' (t) = (y-4)(1 + y). a) Find the solutions that are constant, for all t2 0 (the equilibrium solutions). b) In what regions are solutions increasing? Decreasing? c) Which initial conditions y(0) = A lead to solutions that are increasing in time? Decreasing? d) Sketch the direction field and verify that it is consistent with parts a through c. a) The solutions are constant for (Type an equation. Use a comma to separate answers as...
6. Suppose that, instead of boundary conditions Eqs. (2) and (3), we have u(x, o, t) -f^(r), u(r, b, t)() 0<x<a, 0<t (2') u(0,y, t)-gi(v), u(a,y,t)-89(v) 0 <y<b, o<t (3) Show that the steady-state solution involves the potential equation, and indicate how to solve it. 6. Suppose that, instead of boundary conditions Eqs. (2) and (3), we have u(x, o, t) -f^(r), u(r, b, t)() 0