Hi.
I am struggling to understand what I am doing wrong with this equation.
They ask for the general solution and then the particular solution afterwards.
Given
x(dy/dx) + 5y = 7x^2 , y(2)=5
=> dy/dx + (5/x)y = 7x
integrating factor: e^integral(5/x) = e^(5lnx) = x^5
multiply by this gives: x^5(dy/dx)+(5/x)y(x^5)= 7x^6
=> Dx[(x^5)(y)]= 7x^6
integrate both sides
=> (x^5)(y)= x^7 + C
=> y(x)= x^2 + C/(x^5) (divided by x^5)
ok thats the general solution
Now I get the particular solution by subin in (2,5)
so 5 = 4 + C/32
so C