Question

Which of the following is the general solution of the differential equation dy/ dx=2x/y

a: y^2 = x^2 + C
b: y^2 = 2x^2 + C
c: y^2 = 4x^2 + C
d: x^2 − y^2 = C

Answer 1

@nirmalnema can u plz help? :)

Answer 2

take dy/dx for a,b,c,d and see which is one look like dy/dx=2x/y

Answer 3

dy/ dx=2x/y
ydy=2xdx
upon int.
y^2/2=x^2+c
y^2=2x^2+c

Answer 4

a) dy/dx y^2=x^2+c
2y dy/dx=2x .... => dy/dx=2x/2y=x/y

Answer 5

so is not the answer

Answer 6

so it is b

Answer 7

you guys both give great answers i dont know who to medal!!!

Answer 8

thank u :)