Use the fact that
5x2 − y2 = c
is a one-parameter family of solutions of the differential equation
y
dy
dx
= 5x
to find an implicit solution of the initial-value problem
y
dy
dx
= 5x, y(3) = −8.

Use the fact that 5x2 y2 c is a oneparameter family of solutions of the differential equation y dy dx 5x to find an implicit solution of the initialvalue proble class=