509 reputation
414
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location Bangalore, India
age
visits member for 2 years, 3 months
seen Oct 14 at 15:55

I am a Christian. Although I have an abiding interest in science and philosophy, I view things from a distinctly Christian vantage point, which harmonizes human well-being with what we know of the natural world.

Here's a nice quote I came across:

"The spectacle of the universe seems all the more grand and beautiful and worthy of its Author, when one considers that it is all derived from a small number of laws laid down most wisely." -Maupertuis, 1746


Sep
24
awarded  Autobiographer
Sep
8
awarded  Popular Question
Aug
2
awarded  Notable Question
Jul
2
awarded  Curious
Jul
2
awarded  Yearling
Apr
12
accepted Differential equation by series solution method: equating coefficients to zero
Apr
12
comment Differential equation by series solution method: equating coefficients to zero
I think I got it. n=1,2,3.. and upwards already invoke n=0, which is set to 0. In other words, $2a_2$ is the coefficient of $x^0$, and we have to set coefficients of all powers of $x$ equal to zero.
Apr
12
asked Differential equation by series solution method: equating coefficients to zero
Apr
12
revised What is the significance of finding the series solution of a differential equation “about a point”?
Added edit
Apr
12
asked What is the significance of finding the series solution of a differential equation “about a point”?
Apr
6
asked What is the most general way to solve a linear, second-order ODE with variable coefficients?
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31
awarded  Popular Question
Mar
31
comment How do you integrate $\int x(x+3)^ \left( 1/3 \right) dx$
The answer that I got, which is shown as correct is : $\frac{3}{7}(x+3)^{\frac{7}{3}}-\frac{9}{4} (x+3)^{\frac{4}{3}}$
Mar
31
accepted How do you integrate $\int x(x+3)^ \left( 1/3 \right) dx$
Mar
31
comment How do you integrate $\int x(x+3)^ \left( 1/3 \right) dx$
I apologize for not being clear. I did substitute the $x$ with $u-3$, but the form of the equation seems similar. It didn't occur to me that the new form can be distributed, while the old one cannot.
Mar
31
asked How do you integrate $\int x(x+3)^ \left( 1/3 \right) dx$
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30
awarded  Notable Question
Feb
2
comment What is the intuitive meaning of the basis of a vector space and the span?
Is there an upper bound on the number of matrices that can be used as a basis for $\mathbb R ^2$, like the one you have shown above?
Jan
22
accepted Given $a=bc$ and $c\geq 1$ and $b\neq 0$, which is greater: $a$ or $(b+c)$?
Jan
22
comment Given $a=bc$ and $c\geq 1$ and $b\neq 0$, which is greater: $a$ or $(b+c)$?
$b$ is nonzero.