Pick Best Calculator for Engineers.
Of course this Calculator needs to graph.
Buts also needs room for notes , and be able to scroll through old calculation.
Suggestions?
Ahh, there it is. Thank You !
I still don't have a 100% handle on why the removal of logarithms creates a multiplication of the inside terms . is there a theorem or rule for this process?
Y' = (x^2+2y^2)/xy
make y =xv , y'=v + xv'
simplify to xv'= (1+v^2)/v
rearrange to 1/x dx = (v/(1+v^2))dv
Integrate ---> ln ( 1+v^2) ^ (1/2) = ln (x) + C
simplify ----> v = ( x^2 + C) ^ (1/2)
Y = x*( x^2 + C) ^ (1/2)
Y^2= x^4 + (x^2*C)
But the solution in the back is y^2 = kx^4 -x^2...
Homework Statement
determine whether the given differential equations are homogenous and, if so, solve them.
Homework Equations
dy/dx = (( x^2 -2y^2)/xy )
The Attempt at a Solution
i assumed it was homoG.
Then i replaced ( x*v) for each Y
and made dy/dx --> v+x*(dv/dx)...