Tagged Questions

2
votes
3answers
47 views

Algebra help, logarithms, calculus

I'm seriously out of my depth. I have very basic understanding of logarithms and calculus. Please could someone walk me through how to get from: $$\frac{{d}p}{p} = -\frac{g}{R}\cdot ...
3
votes
1answer
51 views

Manipulating log function

I'm trying to find the value of a constant for $\ y(0) = 0$ in the following differential equation. $$\ 2\ln(2x+3y-1) - {2x+3y \over 2} = 2x+3y + k$$ Of course when plugging in the values, I get $\ ...
2
votes
1answer
125 views

Rearranging a logarithmic equation

I'm building a web app that displays the frequency of a sound. I have an equation that returns a pixel that a particular frequency should be mapped at. However I would like to reverse the equation so ...
1
vote
4answers
271 views

Finding all functions $f$ satisfying $f'(t)=f(t)+\int_a^bf(t)dt$

I am trying to find all functions f satisfying $f'(t)=f(t)+\int_a^bf(t)dt$. This is a problem from Spivak's Calculus and it is the chapter about Logarithms and Exponential functions. I gave up ...