If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^...

If `y^2=a x^2+b x+c` , then `y^3(d^2y)/(dx^2)` is (a) a constant (b) a function of `x` only (c) a function of `y` only (d) a function of `x` and `y`

a constant

a function of x only

a function of y only

a function of x and y

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To solve the problem, we need to find the expression for \( y^3 \frac{d^2y}{dx^2} \) given that \( y^2 = ax^2 + bx + c \). ### Step-by-Step Solution: 1. **Start with the given equation**: \[ y^2 = ax^2 + bx + c \] ...

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