Hi guys, new member here!
I have a problem with what would usually be quite a straight forward linear equation.
I am trying to find the general solution of:
dy/dx +2xy = 4x
Now usually I would just find the integrating factor, multiply both sides to get:
d/dx (exp(x^2)y) = 4xexp(x^2)
Problem. Can't integrate the RHS because of the exp(x^2).
Can I do this by variation of parameters or go in search of another way? Analytically?
Thanks
Gino
I have a problem with what would usually be quite a straight forward linear equation.
I am trying to find the general solution of:
dy/dx +2xy = 4x
Now usually I would just find the integrating factor, multiply both sides to get:
d/dx (exp(x^2)y) = 4xexp(x^2)
Problem. Can't integrate the RHS because of the exp(x^2).
Can I do this by variation of parameters or go in search of another way? Analytically?
Thanks
Gino