a) Find y'= d dy dx b) Show that y" = 2(y-1) (x-1)² lise

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A: We have to solve the given differential equation

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A: Given:- y= 3(-7x2+7x+1)13 To find :- dy/dx

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Q: Find dy/dx for  A) y=43x  B) y=e7x(^3)+5 the ^3 is an exponent, sorry!

A: To determine the derivative of the function.

Q: 3. (x - 1)dy - x?ydu = 0 4. (x2 - y2)dx + xydy = 0 5. (x2 - y)dx - (xdy – ydy) = 0

A: According to our guidelines we can answer only one question and rest can be reposted.

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A: The given equation is: y"+y=sec3x

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A: We know that general derivative of d(xn)/dx is nxn-1. And derivative of d(sinx)/dx = cosx  d(lnx)/dx…

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A: