i) eqn of curve passing through (3,9) which satisfies the differential eqn : dy/dx= x + 1/x² , is?
ii) the eqn of curve through the point (1,0) & whose slope is (y-1)/(x²+x) is?

Question

i) eqn of curve passing through (3,9) which satisfies the
differential eqn : dy/dx= x + 1/x2 , is?
ii) the eqn of curve through the point (1,0) & whose slope is
(y-1)/(x2+x) is?

Abhishek Tiwari · Answer

dy = (x + 1/x²)dx y = x²/2 - 1/x + C - equation 1 Put x
=3 and y =9 then C = 29/6 Put C =29/6 put in equation 1 y=
x²/2 - 1/x + 29/6 6xy = 3x² - 29x +6

i) eqn of curve passing through (3,9) which satisfies the differential eqn : dy/dx= x + 1/x2 , is? ii) the eqn of curve through the point (1,0) & whose slope is (y-1)/(x2+x) is?

i) eqn of curve passing through (3,9) which satisfies the differential eqn : dy/dx= x + 1/x² , is?
ii) the eqn of curve through the point (1,0) & whose slope is (y-1)/(x²+x) is?