Jbreezy said:Homework Statement
They give me y ' = (xysinx)/ (y+1) , y(0) = 1
Homework Equations
So I just separated and integrated
The Attempt at a Solution
I'm 99 percent sure I'm OK up till here. I just wanted to get an explanation for something.
I was wondering my answer is y + ln(y) = sinx -xcosx +C
So there is no way to write this so I just have y on the right. So what am I to say? There is an example similar in my book they does this mean I can't find the constant?
Jbreezy said:Homework Statement
They give me y ' = (xysinx)/ (y+1) , y(0) = 1
Homework Equations
So I just separated and integrated
The Attempt at a Solution
I'm 99 percent sure I'm OK up till here. I just wanted to get an explanation for something.
I was wondering my answer is y + ln(y) = sinx -xcosx +C
So there is no way to write this so I just have y on the right. So what am I to say? There is an example similar in my book they does this mean I can't find the constant?
The initial condition problem, also known as the problem of determination, is a philosophical issue related to causation. It refers to the question of how to account for the initial state or conditions that led to a particular event or phenomenon.
The initial condition problem is important because it raises questions about the nature of causation and determinism. It also has implications for fields such as physics, where the ability to accurately predict the future based on initial conditions is crucial.
Chaos theory suggests that small differences in initial conditions can lead to significantly different outcomes. This means that even if we have perfect knowledge of initial conditions, our ability to predict the future may be limited. The initial condition problem highlights this limitation and raises questions about the determinism of the universe.
There is no clear consensus on whether the initial condition problem can be solved. Some argue that it is a fundamental limitation of our understanding of causation, while others believe that further scientific advancements may provide a solution. Ultimately, the answer to this question may depend on one's philosophical beliefs about determinism.
The initial condition problem has implications for the debate between determinism and free will. If initial conditions ultimately determine all future events, then it could be argued that free will does not exist. However, others may argue that our actions and choices are not solely determined by initial conditions, and that we still have some level of agency in shaping our own future.