Sorry I might have written the questions wrong, first part is separate from the second part.
The questions below are the right ones
3a.Use a suitable substitution to transform the nonlinear DE (dy)/(dx)+y=y² into a linear equation in the new variable z.
3b.without solving the DE, justify the...
Homework Statement
Use a suitable substitution to transform the nonlinear DE (dy)/(dx)+y=y² into a linear equation in the new variable z.
and
without solving the DE, justify the possible methods that can be used to solve the DE found in first part.
Homework Equations
I have no idea what to...
I understood what you did there, but it still gives me y= -c*e^(-x)+x-1, the negative in front of the constant still technically makes the answer wrong. But Thanx for your help. I appreciate it.
The problem I'm given is - I think this is a non separable equation
dy/dx=x-y ... u=x-y
I tried Substituting, where
x-y=u
1-dy/dx=du/dx
(remember above statement u=x-y, and dy/dx=x-y)
therefore, I got 1-u=du/dx and then I solved it from there by...