I have another problem with separable equations, can anyone help?
I need to know how I end up with PI and tan in the answers to these differential equations, its just not making much sense to me at the minute!
so I start with equation
dy/dx = 1+y^2/2+4x
which satisfies y(1) = 1
so this becomes
1/1+y^2 dy = 1/2+4x dx
Am I right so far?
then does the LHS
tan-1 and do you take the log of the RHS?
can anyone help me through the stages??
I have the solution
i just need to see how this works! especially with PI coming into it, how??
Any help would be gr8!
sorry about that, I'm just having trouble with a similar kind of problem... well I get the integration and the separating, I was just wondering really how tan and PI get involved in the equation? I understand tan-1 now because
the integral of 1/1+y^2 = tan-1, but still dont understand where Pi is coming from...