418 reputation
516
bio website
location United States
age
visits member for 2 years, 2 months
seen Oct 18 at 7:39

Aug
29
comment inverse laplace transform - with symbolic variables
What is a TU ?.
Aug
29
comment Partial Fraction decomposition when denominator is in $x^2 + a$ form
I tried solving it, by plugging in values - ended up with 4 equations which should give the answer once solved. But it looked tedious and messy so I thought my solution is incorrect... but apparently not.
Aug
29
comment Partial Fraction decomposition when denominator is in $x^2 + a$ form
how did you solve the constants so quickly
Aug
29
comment Partial Fraction decomposition when denominator is in $x^2 + a$ form
which one, the As+B/s^2 + 1 .. is right?
May
1
comment Differential Equation: Modifying Particular Solution
Yes, but I the question here is just asking for the "form" of the particular solution.
May
1
comment Inverse Laplace transform of $(2s+1)/(s^2 - 4s + 5)$
Thank you so much.
May
1
comment Finding fundamental set of solution of higher order differential equation
Sorry, I don't quite understand why I don't need to use Wronskian to conclude this. In which case then do I need to use the Wronskian to conclude that something is a fundamental set of solution? Thank you
May
1
comment Differential equation: finding particular solution when the RHS is in form A/t
How to know when I need to apply the method of variation of parameter?
Apr
3
comment Why is the particular solution of $y'' - 4y' +3y = e^t$ not in the form of $Ae^t$
"both $e^t$ and $te^t$" meaning the homogenous equation looks like $Ay'' - By' + Cy = e^t + te^t$, then the particular solution will look like $t^2e^t$, am I correct?
Apr
3
comment Why is the particular solution of $y'' - 4y' +3y = e^t$ not in the form of $Ae^t$
and if $te^t$ is already in the homogeneous solution, we will need to multiply by one more $t$ making it $t^2e^t$?
Apr
1
comment Particular Solution of $y'' - 3y' - 4y = 3e^{2t}$
Thank you. I feel ashamed that I did not see this.
Mar
31
comment Differential Equation $y'' + 8y' - 9y = 0$ and Wronskian
yes. thank you.
Feb
18
comment Differential Equation $y'' - 4y' + 4y = 0$
Then in what case will it has a form of $Ce^tcos(t)...Ce^tsin(t) $
Feb
17
comment Differential Equation $y'' - 4y' + 4y = 0$
is it considered to have "repeated roots" if the roots are (r-2)(r+2)? (roots of 2 and -2). No right?
Feb
17
comment Differential Equation $ (2x^2 + y^2)\,dx - xy \, dy = 0 $
In most problem (that I've seen so far) that are homogeneous, you set $ u =\frac{y}{x}$ , if I set $ u =\frac{x}{y}$ would that be a problem or would it just give you the same thing?
Feb
17
comment Differential Equation $ (2x^2 + y^2)\,dx - xy \, dy = 0 $
Now I have,$$y' = \frac{2x^2 + y^2}{xy} $$ $$ yy' = 2x + \frac{y^2}{x}$$
Jan
25
comment Differential Equation: Using substitution $u(x)=y+x$, solve $\frac{dy}{dx} = (y+x)^2$
what if $ u(x) = y^3 $. what would be $ \frac{dy}{dx} $ in this case.
Jan
25
comment Differential Equation: Using substitution $u(x)=y+x$, solve $\frac{dy}{dx} = (y+x)^2$
thank you! I see i now
Jan
25
comment Differential Equation $y' = \frac{ty(4-y)}{(1+y)}$
i feel kinda stupid after knowing that.
Dec
11
comment Partial differentiation dz/ds when function of z is differentiable function of x and y but not given explicitly
Indeed. Thank you.