Solve the following differential equation: `(dy)/(dx)=x^2+x-1/x ,\ x!=0`

Explanation

`frac{d y}{d x}=x^{2}+x-frac{1}{x} `


`Rightarrow d y=(x^{2}+x-frac{1}{x}) d x`



By Integrating each sides, we obtain



`Rightarrow int d y=int(x^{2}+x-frac{1}{x}) d x `


`Rightarrow y=frac{x^{3}}{3}+frac{x^{2}}{2}-log |x|+C`



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