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NDA | Mathematics | Differential Equation

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Question 1

Find a particular solution of the differential equation , given that x =0 when t= 0

Question 2

If  is the solution of the differential equation, then the function  is equal to:

Question 3

If  is the solution of the differential equation  satisfying  then a value of  is:

Question 4

The solution of differential equation ?

Question 5

If a curve  passing through the point ,  is the solution of the differential equation,

 then   is equal to

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May 30NDA