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  • Need solution for RD Sharma maths class 12 chapter 21 Differential Equation exercise Fill in the blank question 23

Need solution for RD Sharma maths class 12 chapter 21 Differential Equation exercise Fill in the blank question 23

Answers (1)

Answer:

 \frac{\mathrm{d} ^{2}x}{\mathrm{d} y^{2}}=0

Given:

The differential equation of all non-horizontal lines in a plane is ____

Hint:

 y=mx+c \quad (m=slope)

Solution:

Equation of non-horizontal line in a plane is y = mx + c where ‘m’ is slope.

Since, there are two arbitrary constants. so the order will be two hence we can differentiate the equation of line two times.

Differentiate w.r.t x

\begin{aligned} &\Rightarrow \frac{\mathrm{d} y}{\mathrm{d} x}=m \\ &\Rightarrow \frac{\mathrm{d} ^{2}y}{\mathrm{d} x^{2}}=0 \end{aligned}

So, the answer is

\begin{aligned} & \frac{\mathrm{d} ^{2}y}{\mathrm{d} x^{2}}=0 \end{aligned}

Posted by

Gurleen Kaur

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