Q1:a\ By checking all that apply, classify the following differential equations: a) order and degree b) ordinary or partial e) linear or nonlinear? (des) dx3 1) + order@x² 5 dy (2) = 0 2)(1+y) +2 dx - 13 d²y dx² + (x+3) d³ y dx³3 degree 3) x (¹ + y = 0 4) x²y" - 3xy' + 5y = 2x² lnx 5) - 4x + y² + 2xyy' = 0 dy dx3 0

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Q: 1.Construct the Truth Table of the following expressions: a.~(PVQ) 'n ((~P^Q) = P))

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Q: For each n E N, consider xn n == X with x ER+. Define the sequence {gn} by 1 +2' 8n(x) = f(xn) (a)…

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A: Given That  3.9 y1¨+7y1˙ +6y1+4y2˙+2y2=0y2¨+7y2˙ +6y2+3y1˙+3y1=0 Transform the nonlinear equation to…

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Q: 76. -6-4 6 4 2 46 x-

A: Given is a graph of the function f(x). To Sketch: The graph of the derivative of the function f(x).

Q: b) Show that the ode (x + tan-¹ y) dx + x+y dy = 0 is exact, then find the general solution and 1+y²…

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