Smitarani swain Asked a Question January 14, 2022 8:10 pm 30 pts DU MA MSc Mathematics Topic:- DU_J18_MA_MATHS_Topic01 1) The complete integral of the partial differential equation xpq + yq-1= 0 where p 0xa q is [Question ID = 2159] (z + b)= 4(ax + y). [Option ID = 8635] ,Z+b= 2(ax + y). z+b = 4 (ax + y)?. [Option ID = 8633] 3. [Option ID = 8636] Z+b= 2(ax + y)". 4. [Option ID = 8634] Correct Answer : (z +b) = 4(ax + y). [Option ID = 8635] 2) Let P be the set of all the polynomials with rational coefficients and S be the set of all sequences of natural numbers. Then which one of the following statements is true? rQuestion ID = 2139]1 Sis countable but P is not. 1. [Option ID = 8555] Both the sets P and S are uncountable., [Option ID = 8556] Both the sets P and S are countable. 3. [Option ID = 8553] Pis countable but S is not. 4. [Option ID = 8554] Correct Answer- Pis countable but S is not. [Option ID = 8554] 3) For the differential equation x+6y= 3xy4/3 dx consider the following statements: (i) The given differential equation is a linear equation. (ii) The differential equation can be reduced to linear equation by the transformation V = y1/3, (ii) The differential equation can be reduced to linear equation by the transformation V = x-1/3 Which of the above statements are true?

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