Question #2a0d2

1 Answer
bp
Oct 6, 2017

#p= 1/2# and #q=1/6#

Explanation:

The curve passes through (3,2) hence x=2 and y=3 should satisfy the given equation. This would result in the equation 2-6+6p +6q=0. On simplifying this would be #p+q= 2/3#.

Next, differentiate the given equation w.r.t x. This would result in the equation #dy/dx -x dy/dx-y +2p +3q dy/dx=0#. In this equation put x=3. y=2 and #dy/dx = -2/3#, to get

#- 2/3 -3 (-2/3) -2 +2p +3q(-2/3)=0# Or, #p-q= 1/3#

Solving the above two equation with p and q, the outcome would be #p= 1/2# and #q = 1/6#

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