Solved by using separate methodxy=(1+x²)dy/dx

1.	Solved by using separate methodxy=(1+x²)dy/dx
Answer» xy = (1+x)² \(\frac{dy}{dx}\) ⇒ \(\frac{dy}{y}=\frac{x}{1+x^2}dx\) ⇒ log y = 1/2 log (1+x²) + 1/2 log c (By integrating both sides and 1/2 log c is an integral constant) ⇒ 2 log y = log (1+x²) + log c ⇒ log y² = log c(1+x²) (∵ log A + log B = log AB and n log a = log aⁿ) ⇒ y² = c(1+x²).

Answer»

xy = (1+x)² \(\frac{dy}{dx}\)

⇒ \(\frac{dy}{y}=\frac{x}{1+x^2}dx\)

⇒ log y = 1/2 log (1+x²) + 1/2 log c (By integrating both sides and 1/2 log c is an integral constant)

⇒ 2 log y = log (1+x²) + log c

⇒ log y² = log c(1+x²) (∵ log A + log B = log AB and n log a = log aⁿ)

⇒ y² = c(1+x²).

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Solved by using separate methodxy=(1+x²)dy/dx

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