EXERCISE SET 7 – Differential Equations

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Presentation transcript:

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.

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

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