how to simplify and make y as the subject matter?
-e^(-y)y-e^(-y)=sin^3x/3+c
it will be great if anyone can help me
thank you.
From,Nurin.
Hey nurininsyirah97.
You will need to introduce a transformation to find x as a function of y or y as a function of x.
Try going both ways and see what you find [Hint - x as a function of y is probably easier] and consider the inverse function problem.
hmm its because i am doing a calculus which is first order differential eq. using separation of variables. and Ive reached to this part. and Im stuck here for hours. can u help me? T.T
An obvious first step is to factor out the $\displaystyle e^{-y}$:
$\displaystyle -e^{-y}(y+ 1)= \frac{sin^3(x)}{3}+ C$.
But you will not be able to solve for y as a function of x without using the "Lambert W function". Are you required to solve for y? It looks to me like you have already solved the differential equation.