The integration factor of differential equation 1-x2 d y-d x-2 x y-4 x2 is

The correct option is B (1 + x2) Here p = 2x/1+x^2 I.F = e^∫ pdx = e^log(1+x^2)= 1 = x^2 ...

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Sufficient Condition for an Extrema

The integrati...

Question

The integration factor of differential equation $(1 + x^{2}) \frac{d y}{d x} + 2 x y = 4 x^{2}$ is

log(1 + x²)

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(1 + x²)

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tan^-1x

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2 tan^-1x

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(1 + x^{2}) \frac{d y}{d x} + 2 x y = 4 x^{2}

(1 + x^{2}) \frac{d y}{d x} + y = x

(1 + x^{2}) \frac{d y}{d x} + 2 x y = 4 x^{2}

Find the equation of a curve passing through origin and satisfying the differential equation $(1 + x^{2}) \frac{d y}{d x} + 2 x y = 4 x^{2}$

(1 + x^{2}) \frac{d y}{d x} + y = e^{{tan}^{- 1} x}

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