ý =y+X ans y= as +aoX+(a+). %3D a. %3D e +e-X-1

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A: ∫4x3-6xx4-3x2+2dx we know that∫f'(x)f(x)dx = ln|f(x)| +cf'(x) =4x3-6x , f(x)=x4-3x2+2

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A: The given differential equation is                                    (6x+y2)dx+y(2x-3y)=0

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A: The main objective is to provide the final solution the differential equation.

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A: we have to solve the given differential equation. ∫dxx2+1=tan-1x +c

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A: As per our guidelines we can help you in solving only first three subparts. Rest of the problems you…

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