2015年6月29日 · $\frac{dy}{dx}=\frac{x^2+y^2}{2xy} $..(i) This is a homogeneous differential equation because it has homogeneous functions of same degree 2. homogeneous functions are: $(x^2+y^2)$ and $2xy$, both functions have degree 2. Solution of differential equation: Equation (i) can be written as, $\frac{dy}{dx}=\frac{1+\frac{y}{x}}{2(\frac{y}{x})}$..(ii)

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2021年7月17日 · In this case the factorisation becomes, $$ x^2 + y^2 + z^2 - 2xy - 2yz - 2zx = (ix + jy + kz)^2. $$ I didn't know if there was some algebra which obeyed these properties. algebra-precalculus

2018年10月7日 · $$2xy ≤ x^2 + y^2$$ I just can end up in $(xy)^{1/2} ≤ (x+y)/2$. And even though I know that this is ...

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2019年12月13日 · Find max of $(3x^2-2xy+3y^2)(3y^2-2yz+3z^2)(3z^2-2xz+3x^2)$ Hot Network Questions Is there still an active cryptographic standard in some developing country that allows the DLP in the multiplicative group of finite fields?

2015年5月9日 · The answers offered so far just introduce $-2xy$ without explaining where it comes from (except as the inverse of $+2xy$). Remark: I am perfectly aware that $$(a + b)^2= a^2 + 2ab + b^2$$ and that one can subtract $2ab$ and it works.

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2022年1月14日 · $2xy''+y'+xy=0, x>0$ I have to find a power series solution and the radius of convergence. My solution: I know that ${y=\sum_{n=0}^{\infty}a_{n}X^{\lambda+n}=a_{0}X ...