Question

How do I pick different initial conditions?

Answer 1

Suppose you have given an differential condition for example   when we solve this the solution will contain an unknown constant c which we have to found out using the initial condition .

Generally initial conditions are given with the differential equation because the solution will depends on the initial condition and for different initial condition we will have different solution so initial condition must be given with the question .

If we want to pick an different initial condition you can choose any real real number and coressponding to your choosen initialcondition it will provide a solution of he given differential equation . .

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If you have any doubt pleasee comment .