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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
asked Differential Equation $y'' - 4y' + 4y = 0$
Feb
17
accepted Differential Equation $ (2x^2 + y^2)\,dx - xy \, dy = 0 $
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,$$y' = \frac{2x^2 + y^2}{xy} $$ $$ yy' = 2x + \frac{y^2}{x}$$
Feb
17
asked Differential Equation $ (2x^2 + y^2)\,dx - xy \, dy = 0 $
Feb
17
accepted Diff Eq. : Find an explicit solution of $y^2 - 1 = y'$
Feb
17
asked Diff Eq. : Find an explicit solution of $y^2 - 1 = y'$
Jan
25
asked Differential Equation Basic - please explain the detail of this step
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
reviewed Approve Differential Equation: Using substitution $u(x)=y+x$, solve $\frac{dy}{dx} = (y+x)^2$
Jan
25
accepted Differential Equation $y' = \frac{ty(4-y)}{(1+y)}$
Jan
25
asked Differential Equation: Using substitution $u(x)=y+x$, solve $\frac{dy}{dx} = (y+x)^2$
Jan
25
comment Differential Equation $y' = \frac{ty(4-y)}{(1+y)}$
i feel kinda stupid after knowing that.
Jan
25
asked Differential Equation $y' = \frac{ty(4-y)}{(1+y)}$
Jan
10
asked Laplace Transform of multiplied term like $u(t)u(4-t)$
Dec
11
accepted Using Green's theorem to compute an area of a region
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.
Dec
11
asked Partial differentiation dz/ds when function of z is differentiable function of x and y but not given explicitly