Homework Statement
The link to the problem is here: http://i.imgur.com/wyOsoSB.png
The Attempt at a Solution
I'm not completely sure about my work so far so please bear with me. My professor is very poor at professing the subject so I'm trying to learn from the book. Please let me know...
Homework Statement
I must find the resistance of a diode inside the piecewise model using the diode law equation.
I am given variables VD = .75V, Is = 5*10^-13 A, and VT = .026 A. n = 1Homework Equations
The Diode Law equation: ID = IS(e(VD/nVT) - 1)The Attempt at a Solution
We were told...
Homework Statement
y'' - 5y' = 2x^3 - 4x^2 -x + 6
The Attempt at a Solution
I first found the m's on the left hand side. They are 0 and 5. I then found the m's on the right hand side. They are 0, 0, 0, and 0. I then wrote my interim equation:
y = C1 + C2e^5x + Ax^4 + Bx^3 +...
Homework Statement
dy/dx = 2y + x^2 + 5.
This is a linear differential equation, so I know I need to use the definition of it which is y*e^integral(P(x)) dx = integral(f(x)*e^int(P(x)) dx.
I tried to get it into this form, so I tried to change the equation to dy/dx + -2y = x^2 + 5...
Oh, of course. Okay, so now I have (x+2)(y-1) on top, and (x-3)(y+1). I have separated those out. Now I have (y+1)/(y-1) dy = (x+2)/(x-3) dx. Is this the correct equation I need to solve?
Homework Statement
The differential equation I have is dy/dx = (xy + 2y - x - 2)/(xy - 3y + x - 3). I need help getting started. Neither the top nor the bottom can be factored, so I don't know what to do next. Can anyone give me a push? All I know is that I need to use separation of variables.
Homework Statement
A particle of mass m begins at rest from x = +24 cm and oscillates about its equilibrium position at x = 0 with a period of 1.4 s. Write expressions for the following. (Enter your numerical values to two decimal places.)
(a) the position x as a function of t
I solved...
Homework Statement
The position of a particle is given by x = 4.6 cos (pi)t, where x is in meters and t is in seconds.
(a) Find the maximum speed and maximum acceleration of the particle.
I've already solved these by finding the first and second derivatives of the above x.
v =...