hello can someone explain how to guess the yp for this Non-homogeneous differential equation
y'' - 2y' + y = te^t
characteristic polynomial: (y - 1)^2 so the characteristic roots are: y1=y2= 1
c1 and c2 are constant
for yh = (c1)e^t + (c2)te^t
please explained how to guess for te^t
Homework Statement
Consider an electrically neutral object. If this object is given a net positive charge does its mass increase, decrease or remain the same?
Homework Equations
The Attempt at a Solution
i say that the mass decrease. but i don't know why, can someone please...
Homework Statement
I know this is a dumb question but if the radius of a planet is one-fifth of the Earth's radius. what is the mass of the planet.
Earth mass => 5.97 *1024
earth radius => 6.38 *106
The Attempt at a Solution
my answer: 5.97 *1024(1/10)