Find the differential equation corresponding to the family (x + a)? + 2y2 = a², where 'a' is the parameter. %3D а. dy x² + 2y2 + 4xy dx dy = 0 dx Ob. x² – 2y2 + 4xy 2x2 – 2y² + 4xy dy = 0 dx O d. х? — 2у? — 4ху dy = 0 dx

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A: Follow the procedure given below.

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A: We can solve thus as follows:

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A: Given problem:-

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A: Here, the polar curve is r=10 cos 3θ which is as shown:

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A: We use the method of substitution to  solve the given differential equations

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A: Let's find.

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A: This is a question related to vector. Based on the general formula of plane we will solve.

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Q: Simplify

A: Answer is no solution.

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A: Follow the procedure given below.

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A: A detailed solution is given below

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A: We can solve this as follows:

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A: I have stated the used formulas in the solution

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