4. Determine if the equation is exact, and if it is exact, find the general solution. a.) (y² + 2t) + 2tyy' = 0 b.) 2t? – y + (t+ y²)y/ = 0 c.) 2xy + 2x³ + (x² – y)y' = 0

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A: The given differential equation is x2y''-2y=0. Clearly, the given DE is a second order Euler…

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Q: 3. y' +3y'′-18y=-108 m2+3m-100=0

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A: Recall:  If the equation M(x,y)dx+N(x,y)dy=0 is not exact and ∂M∂y-∂N∂xN is a function of x…

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Q: y₁ = (x+y)²-1

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