(1 point) Similar to 5.2.16 in Rogawski/Adams. Find a, b, and c such that g(t) dt and | gt) dt ar...
(1 point) A. Let g(t) be the solution of the initial value problem dy dt with g(1)1 Find g(t) B. Let f(t) be the solution of the initial value problem dy dt with f(0) 0 Find f(t). C. Find a constant c so that solves the differential equation in part B and k(1) 13. cE
(1 point) A. Let g(t) be the solution of the initial value problem dy dt with g(1)1 Find g(t) B. Let f(t) be the solution...
(25) 1. Find um 112 1:4 gt) 16.2 "g(t) = m con 2004 Volts VER = 80 Volls, RMS
(1 point) Evaluate the following: b.(3+e 2)8(t - 9) dt- (3 + e 2t)<s(t) dt-
(1 point) A. Solve the following initial value problem: dy dt cos (t)-1 with y(6) tan(6). (Find y as a function of t.)
(1 point) A. Solve the following initial value problem: dy dt cos (t)-1 with y(6) tan(6). (Find y as a function of t.)
(1 point) Use Part I of the Fundamental Theorem of Calculus to find the derivative of cos(t2+t)dt n'(z) =
(1 point) Use Part I of the Fundamental Theorem of Calculus to find the derivative of cos(t2+t)dt n'(z) =
dx/dt = 4x -x^2 -2xy dy/dt = -y+0.5 xy a) find equilibrium points b) find Jacobian matrix for above system c) find Jacobian matrix at eq. point (0,0) d) draw phase portrait near (0,0) from © e) show at eq. point (4,0) the Jacobian matrix is -4 -8 0 1 f) draw phase portrait near (4,0) from (d) g) at eq. point (2,1) the Jacobian matrix is -2 -4 0.5 0 h) draw phase portrait near (2,1) from (f) i)...
2. Let g(t)=e-21[sin(6m)+2cos(3m). Find | δ(1-2)g(t)dt.
{D -3t0, 0t1 L'& f()g(t)dt. Let h(t) = 10] In C-3, 1, consider the inner product (f, g) (a) Find the function of the form ct that best approximates h(t) with respect to the above inner product (b) Find the function of the form cocit that best approximates h(t) with respect to the above inner product
Problem 2. Evaluate the following integrals: a) (t+1)8(t-1)dt b) ſ exp(-+)$(t + 2)dt c) Itsin() 062 – 1)dt
Let P(t) be a function and Q(t) be functions. dP/dt = aQ dQ/dt = -bP (1) Find the equilibrium point(s) and discuss their stability. (2) Find the trajectories of P and Q. (3) Solve the system to find P and Q as functions of t.