Ok, so i just started a 2nd year engineering maths unit, but i got credit for the 1st year prerequisite from a subject i did about 4 yrs ago...
need some help.
eg. dy/dt + 2y = 1 , y(0)= 5/2
i started with dy/(1-2y)= dt
ln(1-2y) = t+c
1-2y = e^(t+c)
y= 1/2(1-e^(t+c))
am i right so far?
i then put y(0)= 1/2(1-e^c) = 5/2
1-e^c = 5
e^c = -4
c = ln(-4) which is clearly wrong.
where did i go wrong? any help greatly appreciated.. thanks