The differential equation is

, given that when .

First separate the variables:

.

Now integrate/antidifferentiate (using and linearity (can fix constant)):

when :

.

We have witnessed (at ) so :

.

Using and this is equal to

.

Note that and

.

Regards,

J.P.

If possible could you please do Oliver Murphy, 12 E, Q. 2 and send me a photo of the workings out.

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