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A doubt with calculus friends can d/dx be thought of just as a numerator and denominator.?
Hi friends,this is a serious doubt that prevents me from even understanding the fundamentals of differential equations, While I was learning differential equations, I found this hard to understand,
In an equation dy/dx=1/x we know d/dx is just an operator isnt it, but the next step was like dy=dx/x,my question is if d/dx is just an operator as it is defined then how can we take dx to the numerator of the right hand side as we do with ordinary multiplication, does dx have a value, but then again the equation gets integrated, and here again dx and dy acts as operators of the integration notation.Please help me
4 Answers
- Anonymous1 decade agoFavorite Answer
see u are right is this context that d/dx is and operator but u have to be clear about the real meaning of d/dx.
suppose ' y ' is any function and u r diffretiating it py applyng the operator d/dx ,, the result will be dy/dx , it means the rate of change of the function y with respect to 'x'(any variable).
dx don't have any specific value unless u know the initial and final values of the variable x. and u cant take d/dx as a numerator and denominator ,,, u cud take dy/dx as numerator and dinominator
- AmitLv 41 decade ago
you can think of dy/dx as numerator and denominator but not d/dx. Its an operator.
- Anonymous1 decade ago
No, However you may think of dy/dx as num n den. Thats what we do while solving differential equations.
- 1 decade ago
(d/dx) is simply an operaor
you should be clear about your fundas
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