Recent content by HerpaDerp

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...

You can use variation of parameters or method of superposition

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...