1. EXERCISE SET 7 – Differential Equations
STEP 1
Move the y terms & the dy to one side.
Move the x terms & the dx to the other side
(a)
STEP 2 - Integrate
The dy side with respect to y.
The dx side with respect to x.
Note: ‘c’ is an arbitrary constant.
Normally we solve for ‘c’ in STEP 3. However we have not been given any additional information on this problem.

2. EXERCISE SET 7 – Differential Equations
(b)
STEP 1
Move the i terms & the di to one side.
Move the t terms & the dt to the other side
STEP 2 - Integrate
The di side with respect to i.
The dt side with respect to t.
‘c’ is an arbitrary constant
Remove the log by raising to a power with e as the base.
CONTINUED ON NEXT PAGE

3. EXERCISE SET 7 – Differential Equations
(b)
FROM PREVIOUS PAGE
Remove the log by raising to a power with e as the base.
A1 is a constant we can solve by using the boundary conditions i=0 at t=0