Help! I can't figure out this problem: Find f(x), when cos^2(x)f'(x) = e^-f(x), and f(0) = 0.5 I have several other questions which I am lost on so I will be posting several! Thanks!
Follow Math Help Forum on Facebook and Google+
Originally Posted by geode Help! I can't figure out this problem: Find f(x), when cos^2(x)f'(x) = e^-f(x), and f(0) = 0.5 I have several other questions which I am lost on so I will be posting several! Thanks! Let say we want to solve, $\displaystyle \cos^2 x f'(x) = e^{-f(x)} \mbox{ on }(0,\pi/2)$ Then, $\displaystyle \frac{f'(x)}{e^{-f(x)}} = \sec^2 x $ This is a seperable differencial equation.
View Tag Cloud