Alright, so I have a general question on finding the general solution of the eq:
t^3y"'(t)-4t^2y''(t)+8ty'(t)-8y(t)=t
next, turn it into a homogenous equation:
t^3y"'(t)-4t^2y''(t)+8ty'(t)-8y(t)=0
The assumed solutions are and derivatives:
Y1 = 8t Y1'= 8 Y1'' = 0...
Homework Statement
dM/dT = .5m-24
I know this is a linear differential equation, with an integrating factor of .5
I get my final answer to be M = 48+ke^(-.5t)
Next, when t = 0, M = 7e^(.5t)...
Giving me k = 7e^(.5t) - 48
so to solve for M..
M = 48 + (7e^(.5t)-48)e^(-.5t)...
I probably started it off wrong, but
dC/dT = mC (where m represents the mass, since it is proportional to the time)
=>
dC/C = mdt
=>
ln|c| = mt+c
=>
Ke^mt = C
Probably started off on the wrong foot, the only difficult part of these problems are actually setting up the...
The initial mass of fish in a lake was 7 thousand pounds on January 1st, 2001. Since the time, there was a 4-year moratorium on the harvesting on this specific type of fish. This species of fish reproduce at a rate proportional to the mass and by next year on the same date, there were 11.54...
Homework Statement
The initial mass of fish in a lake was 7 thousand pounds on January 1st, 2001. Since the time, there was a 4-year moratorium on the harvesting on this specific type of fish. This species of fish reproduce at a rate proportional to the mass and by next year on the same...