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Explain solution for  RD Sharma Class 12 Chapter 21 Differential Equation Exercise Multiple choice Question Question 55 maths textbook solution.

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Answer : (c)2,1

Hint : Equation of parabola is y^{2}=4ax

Given : Equation of parabola having vertex a origin and axis along positive x-axis

Explanation: So, the equation is

\Rightarrow y^{2}=4 a x

Differentiate both sides with respect to x

\begin{aligned} &\Rightarrow 2 y \frac{d y}{d x}=4 a \\ &\Rightarrow y \frac{d y}{d x}=2 a \end{aligned}

Again differentiate with respect to x

\Rightarrow y \frac{d^{2} y}{d x^{2}}+\left(\frac{d y}{d x}\right)^{2}=0

o, the order is 2 and the egree is 1

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