Find the particular solution for dy/dx=(y-5)/x, using the point y(0)=7
I got y-5=Ax (or ln(y-5)=ln(x)+c)
For both of which there is no way to find A or c...I had this question in a test, and wrote it was impossible to find the particular solution with the given point (I believe the examiner made an error..) am I correct?
The DE can be written as...
... so that it is a linear first order DE. Neccessary condition to have a solution is that the coefficient of the term y' doesn't vanish... but the 'initial condition' is for so that that isn't verified...