2. Given the DE as (x² + y² – 3)dx – 2xydy = 0 a) Prove if the given DE is exact or non-exact b) Find its general solution.

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A: Explanation of the answer is as follows

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A: Use equation of  tangent line

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A: Given query is to find the solution of the differential equation.

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A: We can solve as follows

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A: When the eigen values of A=ab0dare λ1=0, and λ2=2, then to determine the possible values of a and d.…

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A: Solution is done in step 2

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A: Use limit definition to prove the limit.

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A: let f(x) =∫3x ( 3t-1) dt

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A: answer is in next step

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A: A detailed solution is given below.

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: We need to find points of intersection.

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