Consider the equation $\frac{x ^{2}}{a ^{2} + λ} + \frac{y ^{2}}{b ^{2} + λ} = 1,$ where a and b are specified constants and $λ$ is an arbitrary parameter. Find a differential equation satisfied by it.

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Consider the equation

\frac{x ^{2}}{a ^{2} + λ} + \frac{y ^{2}}{b ^{2} + λ} = 1,

where a and b are specified constants and

λ

is an arbitrary parameter. Find a differential equation satisfied by it.

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Question Text

Consider the equation

\frac{x ^{2}}{a ^{2} + λ} + \frac{y ^{2}}{b ^{2} + λ} = 1,

where a and b are specified constants and

λ

is an arbitrary parameter. Find a differential equation satisfied by it.

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