I'm stuck on this problem
Find the solution of the differential equation that satisfies the given initial condition. (dy)/(dx) = x/y, y(0) = -5
first i move y and x around and get y(dy)=x(dx)
then get the integral of both
y^2/2 = x^2/2 + C
multiply both sides by 2,
y^2 = x^2 + C
find C by plugging in 0 for X and -5 for Y
-5^2 = 0 + C
25 = C
I plug C into the regular equation and
then my final answer is y=sqrt( x^2 +25 )
but it is wrong. What am i doing wrong? thanks!