y V = 2n x(36 – x²) dx.

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A: To determine the derivative of the parametric equation.

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A: see below the answer

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A: Given,                        dydx=1x2-1;         y(0)=0

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A: Remark: we know that  d/dx (xn ) = n xn-1 , where n is any integer except -1.

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Q: Solve the IVP: - 8x + 7y – 7x + 2y dy where y(2) = 9 dx Solve your solution equation explicitly for…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  here we have

Q: dy Solve = y(xy' -1). dx

A: Given dydx = y(xy3-1)dydx = xy4-ydydx+y = xy41y4dydx + 1y3 = x…

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: The given function is y=3x-252x2+54

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A: