List of top Engineering Mathematics Questions asked in GATE ES

Consider the following equation: \[ x^3 - 10x^2 + 31x - 30 = 0 \] Which of the following is/are the root(s) of the above equation?
The ordinary differential equation \[ \frac{dy}{dx} = x^2 y \] has \( y \) as the dependent variable and \( x \) as the independent variable. Which of the following classification(s) is/are applicable to the equation?
A tangent is drawn on the curve of the function \( y = x^2 \) at the point \( (x, y) = (3, 9) \). The slope of the tangent is _______.