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FP2 First Order Differentials

If you have an equation in the form dy/dx + Py = Q

and then you times it by the integrating factor

should you always check that the left turns into a product rule derivative or will it always be a product rule derivative?
Original post by Bealzibub
If you have an equation in the form dy/dx + Py = Q

and then you times it by the integrating factor

should you always check that the left turns into a product rule derivative or will it always be a product rule derivative?


I guess there is no harm in checking but if you have found the integrating factor correctly then you shouldn't need to.

So when you find the integrating factor make sure you have the differential equation in the right form and that you have integrated the exponent of e correctly.
(edited 8 years ago)
Original post by SherlockHolmes
I guess there is no harm in checking but if you have found the integrating factor correctly then you shouldn't need to.

So when you find the integrating factor make sure you have the differential equation in the right form and that you have integrated the exponent of e correctly.


okay, im only asking because in the exam checking takes valuable time if it's a tricky product.

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