Recent content by namegoeshere

D'oh. Yes, I meant conjugate symmetric. Thanks. :)

I heard this assertion during a discussion: If two matrices are similar, but one is symmetric and the other is not, then the two matrices are not unitarily equivalent. Why is this true? This was only mentioned in passing, and I definitely don't understand why.

Ah, I get it now. Based my singular solution attempt off the one given example we had, and admittedly what I tried didn't make intuitive sense to me. Thanks. :)

Homework Statement Find the general solution and any singular solutions to (2xy^3+4x)y'=x^2y^2+y^2.Homework Equations The Attempt at a Solution 2x(y^3+2)y'=y^2(x^2+1) \int\frac{y^3+2}{y^2}\,dy=\int\frac{x^2+1}{2x}\,dx \frac{y^3-4}{2y}=\frac{x^2+2\ln x}{4}+C Is this correct? To find the...

Homework Statement A 44 gallon barrel of oil develops a leak at the bottom. Let A(t) be the amount of oil in the barrel at a given time t. Suppose that the amount of oil is decreasing at a rate proportional to the product of the time elapsed and the amount of oil present in the barrel. a...