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i want to know all about general solutions

i want to know all about general solutions

Grade:11

2 Answers

Badiuddin askIITians.ismu Expert
147 Points
12 years ago

Hi vignesh kumar

Simply general solution means that your final expression include  all the posible answer of that qusetion

Lets take an example

Question : Sin(x)=0

                  Find  the value of x ?

 

Solution   now if i want to solve this question then we can easly say that x=0 is tha solution.

              but if you further see that x= ∏ is also its solution

               similarly x=2∏ is also its solution

              similarly we have more solution

              Now we can right all these solution in a single expression

                x=n∏ is its solution for n= 0,1,-1,2,-2,3,-3.........

so what we have done here

 we have just generalise our solution by using a variable n

 

So x=n∏ is general solution for given question

 


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Badiuddin

vignesh kumar
18 Points
12 years ago

sir,

thank you for the answer.

could you please tell me more about general solutions, ie., the formulae etc.?

regards

vignesh

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