Differential Calculus> Correct answer is B.........................

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

Nikhil , 7 Years ago

Grade 12

4 Answers

Amit

Last Activity: 7 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

Last Activity: 7 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

Last Activity: 7 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.