Find the solution of the differential equation that satisfies the given initial condition.

Question

dy/dx= x/y, y(0) = −7

Answer 1

dy/dx = x/y
y dy = x dx
y^2 = x^2 + c

49 = 0 + c
c = 49

y^2 - x^2 = 49

Answer 2

Stave do you mean that the answer would be y=-sqrt(x^2+49)?

Answer 3

yes.