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

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

Answers (1)

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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