Can anyone help me any further with this please
My original equation was:- dx/dt=x^2/(t+1)
What i have so far is:-
∫x^-2dx=∫(t+1)^-1dt
x^-1/-1=∫(t+1)
Any help is appreciated
My appologise for coming across as an idiot.
My original problem was to calculate answers for x^2/(t+1) for time steps 0 (0.1) 0.5 using both eulers method & euler-cauchy method and compare these results against an exact solution using separation of variables, i presumed i would need to...
Yes i do know that.
I am trying to find the exact solution for x based on the time steps of t from 0 (0.1) 0.5
are you saying what i have done so far i wrong? Can you point me down the correct path please.
Wow quick response.
Yes i get that, what i am struggling with is where to go from this point and what it is i am actually trying to figure out i have previously rewritten it as ∫1/x^2 dx/dt dt=∫1/t+1 dt
which got me to ∫1/x^2 dx =∫1/t+1 dt
= ln(x^2) = ln(t+1)+C
Then i get stuck & confused...
Can anyone help me please or point me in the right direction, I am needing to find an exact solution for this equation by using separation of variables and compare them to answers i have calculated for Euler's method & Euler-Cauchy method. The equation is dx/dt=x^2/(t+1) when x(0)=1 and t=time...