2 a) dy/dt = 2e2t+4
b) dy/dt = tet + et
c) dy/dt = 2t2e2t + 2te2t
d) dy/dt = (1/ 7t5)* 35t4 = 5/t
e) dy/dt = (7(1−t)5−35(1−t)4*t)/ (7(1−t)5*t) = (6t-1) / ((t-1)*t)
6. Find the dy/dt for each of the following: a) y = e2t+4 b) y = te c) y = t?e21 d) y = log(77) e) y = log(7t(1 -t) 1
Solve these differential equations: 1.) dy/dt = P[(1/y)-1] +by-a 2.) dy/dt = b*y* e^(-ct) 'P', 'b', and 'a' are constants. Thanks.
Consider the following system:
dx/dt=y(x^2+y^2-1)
dy/dt= -x(x^2 +y^2-1)
Find the equilibrium solution.
13. Consider the following system dx dy (e) Find the equilibrium solutions (0 Use Maple to sketch a phase portrait (me to understand the qualitative behavior of
13. Consider the following system dx dy (e) Find the equilibrium solutions (0 Use Maple to sketch a phase portrait (me to understand the qualitative behavior of
7. Assume x and y are functions of t. Evaluate dy/dt for each of the following. (a) y2 - 8x3 = -55, 5= -4,2 = 2, y = 3 (b) = 2, r = 4, y = 2 (e) cell = 2 - In 2 + In 2, 6,2 = 2, y = 0
my answer is wrong I don't get why
dy for each pair of functions. Find dt 2 y x-6x, x t + 8 dy |(2t) (2t + 7) dt
dy for each pair of functions. Find dt 2 y x-6x, x t + 8 dy |(2t) (2t + 7) dt
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...
Find dy at x = dt - 5 if y = – 3x2 – 1 and dx = - 5. dt dy dt
Problem 3. Consider the following continuous differential equation dx dt = αx − 2xy dy dt = 3xy − y 3a (5 pts): Find the steady states of the system. 3b (15 pts): Linearize the model about each of the fixed points and determine the type of stability. 3b (15 pts): Draw the phase portrait for this system, including nullclines, flow trajectories, and all fixed points. Problem 2 (25 pts): Two-dimensional linear ODEs For the following linear systems, identify the...
dy Find solution for initial valued problem:-3y + 2 3t ,y(0)--1 dt
dy Find solution for initial valued problem:-3y + 2 3t ,y(0)--1 dt
(24 points) Find the general solution to each of the following differential equations dy a) = e)(x - 2). Over what interval is this solution valid? dx b) y" - 2y + y = (Hint use the method of variation of parameters) 1 + x2 c) y" - 8y' + 17y = 0. Is this solution (i) undamped, (ii) critically damped, (iii) under-damped, or (iv) over-damped?