- #36
ExtravagantDreams
- 82
- 5
I'm not sure what you are asking;
3x2y''- xy'+ y = 0,
When x = 0
3(0)2y''- (0)y'+ y = 0
y = 0 ?
3x2y''- xy'+ y = 0,
When x = 0
3(0)2y''- (0)y'+ y = 0
y = 0 ?
ExtravagantDreams said:However, a question, does anyone know an easier way for writing math on the computer and one that looks less confusing. I know I will have difficulty finding some things, especially subscripts and superscripts. Anyone know a better way to denote these?
Ebolamonk3y said:Does anyone know of any good Intro to Diffy Q books? Or just Diffy Q books in general? Thanks...
Dr Transport said:Try Boyce and DiPrima...it hasn't been thru 7 or 8 editions beause it is not a good, readable text
ExtravagantDreams said:[tex]
\frac {dy} {dt} = ay - b
[/tex]
zeronem said:You get rid of the parts of the equation that has more then one differential because more then one differential is just simply too small to have any effect on the whole equation.1 = 0 [/tex] is an implicit solution to ..
py'' + qy' + ry = 0
Solving the homogeneous equation will later always provide a way to solve the corresponding nonhomogeneous problem.
I'm not going to proove all this but you can take the kernal of this funtion as
ar2 + br + c = 0
and you can, so to speak, find the roots of this funtion.
r1,2 = (-b ± √(b2 -4ac))/2a
r1 = (-b + √(b2 -4ac))/2a
r2 = (-b - √(b2 -4ac))/2a
Assuming that these roots are real and different then;
y1(t) = er1t
y2(t) = er2t
Assuming that these roots are real and different then;
y1(t) = er1t
y2(t) = er2t
py'' + qy' + ry = 0
Solving the homogeneous equation will later always provide a way to solve the corresponding nonhomogeneous problem.
I'm not going to proove all this but you can take the kernal of this funtion as
ar2 + br + c = 0
and you can, so to speak, find the roots of this funtion.
r1,2 = (-b ± √(b2 -4ac))/2a
r1 = (-b + √(b2 -4ac))/2a
r2 = (-b - √(b2 -4ac))/2a
ExtravagantDreams said:Does anyone know an easier way for writing math on the computer and one that looks less confusing. I know I will have difficulty finding some things, especially subscripts and superscripts. Anyone know a better way to denote these?
ExtravagantDreams said:Looking things up and explaining it to others seems to be the best way to learn.
mathwonk said:boy am mi ticked. i just lost a post that I had been woprking nop fopr over an hour about o.d.e's from the biog picture and various books and their different characteristics, and essential ingredients of a good d.e. cousre etc etc. when i tried to pst it the computer said I was not logged in but when I logged in my post was gone.
this is not the first time this has happened to me.
well good luck for you, bad luck for me.