Find the general solution of differential equations $$\dfrac{ dy}{dx} = x^5 + x^2 – (\dfrac{2}{x})$$

Asked by Aaryan | 1 year ago |  102

##### Solution :-

From the question it is given that,

$$\dfrac{dy}{dx} = x^5 + x^2 – \dfrac{2}{x}$$

Integrating on both side, we get,

∫dy = ∫$$(x^5 + x^2 – \dfrac{2}{x})$$ dx

We know that ∫ xn dx = x(n + 1)/(n + 1)

y = $$\dfrac{x^6}{6} + \dfrac{x^3}{3} – 2 log x + c$$

Answered by Aaryan | 1 year ago

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