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Standard XII

Mathematics

Chain Rule of Differentiation

The different...

Question

The differential equation obtained by eliminating the arbitrary constants a and b in $y = a c o s (n x + b)$ is

yⁿ=n²y

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yⁿ+y=0

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yⁿ+n²y=0

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yⁿ-y=0

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Solution

The correct option is C
yⁿ+n²y=0

$y^{1} = - n^{2} a c o s (n x + b) = - n^{2} y$

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The differential equation obtained by eliminating the arbitrary constants a and b in y=a cos(nx+b) is

The correct option is C yn+n2y=0 y1=−n2 a cos(nx+b)=−n2y

The differential equation obtained by eliminating the arbitrary constants a and b in $y = a c o s (n x + b)$ is

The correct option is C
yⁿ+n²y=0

$y^{1} = - n^{2} a c o s (n x + b) = - n^{2} y$