Grade 12Differential Calculus

Correct answer is B....................................but please explain it how ? Pic of question is attached

Question image for Correct answer is B..............................

Nikhil

8 Years agoGrade 12

4 Answers

Amit

8 Years ago

Hi there.. it is direct Clairaut from of DE.. which is equal to y=px +f(p) where p is equal to dy/dx.. here f(p) = 1/p .. for solving it take derivative both side wrt x and again write dy/dc which will come on left side as p... Hope you got it..

Nikhil

8 Years ago

thanks Tushar

Hi bro..... get a lot of clue by your above statement but i haven’t still approved

bcoz i am still some away from answer.

as ur given instructions i started and reached to

d²y/dx²(x – (dx/dy)²=0

which comes out either d²y/dx² =0 or (x – (dx/dy)²=0

d²y/dx² =0 is diff. eqn of a straight line I agree

but (x – (dx/dy)² is not the diff. eqn of parabola............

If I have made any mistake plz check it and help me to improve....

Amit

Approved Tutor Answer8 Years ago

Hi bro.. To further make the other part simplify we can write (dy/dx)²= 1/x or dy/dx=1/√x.. Take dx the other side .. it will be dy=dx/√x.. Now integrate both side we get y=2√x +c or x=y²/4 +C.. which is a equation of parabola.. I hope it should not be a problem now.. Thanks So much that you like the other part.