Solving ∫dy/dx dy: See Files Above

[nokia8650]

http://img262.imageshack.us/img262/314/maths1eh4.th.jpg

http://img262.imageshack.us/img262/3210/maths2nb2.th.jpg

See files above.

I was wondering why there is the need of an "A" in front of e^2x - surely only one constant of integration is required?

Also, if one were to tackle the problem differently, what would the ingeral of dy/dx dy be?

Thanks

 

[tmc]

dy/dx dy doesn't really make sense. Think of the two 'dx' canceling each other when you do the integration.

You need the A since the two constants are different; one is additive and the other is multiplicative. The A is actually A=exp(alpha), where alpha is an additive constant of integration which is lodged inside the exponent.