The degree of d2ydx2- 1- dydx2-32-0 is

The correct option is B 2 Given diffrential equation can be written as (1+(dydx)^2)^32= d^2ydx^2 squaring on both sides (1+(dydx)^2)^3=(d^2ydx^2)^2 ...

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Standard VI

Mathematics

Formation of Algebraic Expressions

The degree of...

Question

The degree of $\frac{d^{2} y}{d x^{2}} + {[1 + {(\frac{d y}{d x})}^{2}]}^{\frac{3}{2}} = 0$ is

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Solution

The correct option is B $2$
Given diffrential equation can be written as
$(1 + (\frac{d y}{d x})^{2})^{\frac{3}{2}} = - \frac{d^{2} y}{d x^{2}}$
squaring on both sides
$(1 + (\frac{d y}{d x})^{2})^{3} = (\frac{d^{2} y}{d x^{2}})^{2}$

Degree is nothing but the power of highest order derivative
Degree=2

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The degree of d2ydx2+[1+(dydx)2]32=0 is

The correct option is B 2Given diffrential equation can be written as(1+(dydx)2)32=−d2ydx2squaring on both sides(1+(dydx)2)3=(d2ydx2)2Degree is nothing but the power of highest order derivative Degree=2

The degree of $\frac{d^{2} y}{d x^{2}} + {[1 + {(\frac{d y}{d x})}^{2}]}^{\frac{3}{2}} = 0$ is