Eliminate the Arbitrary Constant: y = c¿e* + c2xe* а. y — 2y" + 2у %3D 0 b.y" - 2y' + у %3D 0 c. y' – 2y" + y = 0 d. y' – 2y" + 2y = 0 e. none of these

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A: Hence option (B) is correct.

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A: Solving the problem by the said method.

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A: Given that: z=(x+y)ex,      x=2-t2 and y=t

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A: see 2nd and 3rd step.aa

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A: Let's solve.

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A: We would differentiate the given expression implicitly w.r.t. t, ........................(1)

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A: First of all, let's get rid of Z by substituting Z = 43 in the equation above: y = (3 x 43)t4 +…

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A: By the use of chain rule we need to find the required derivative.

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A: