Equations need to equal something. Maybe you meant 3y^4-y^2 = 0?
Those answers would be 0 and +- 1/sqrt(3)
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If you solve such an equation for "y", you get an equation in the slope-intercept form.
the Bratu's equation is a differential equation which is non-linear (such as, if we have some solutions for it, a linear combinaison of these solutions will not be everytime a solution). It's given by the equation y''+a*e^y=0 or d²y/dy² =-ae^y.
That makes no sense, there is no y in the equation so y cannot equal anything.
If the equation is: y = -x then the slope is -1 and there is no y intercept
Slope for the equation y equals 7 is zero.