#second derivative

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General Mathematics 1

What will be the value of y''(x) for the given parametric form x = at, and y = a/t

Applying the basic concept, after simplifying, 2/at^3 is left. The method is simple: formula → substitution → calculation → answer.

Ref: NCERT Mathematics Class XI and XII

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Differential Equations

The order and degree of the differential equation d^3y/dx^3 + (d^2y/dx^2) = 0 are respectively

From the definition, solving fully: apply relevant formula, put numbers, compute. Result comes as order = 3, degree = not define. Easy verification shows it satisfies condition.

Ref: NCERT Mathematics Class XII — Differential Equations

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#second derivative

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What will be the value of y''(x) for the given parametric form x = at, and y = a/t

The order and degree of the differential equation d^3y/dx^3 + (d^2y/dx^2) = 0 are respectively

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