If p and q are order and degree of differential equation y2 d2 y-dx22 - 3x dy-dx1-3 - x2 y2 - sin x- then

Y^2 (d^2 y/dx^2)^2 + x62 y^2 sin x = 3x (dy/dx)^1/3 (y^2 (d^2 y/dx^2)^2 + x^2 y^2)^3 = 9x^3 (dy/dx) Degree = 6 = q ∴ p=2 lt; q ...

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Degree of a Differential Equations

If p and q ar...

Question

If p and q are order and degree of differential equation $y^{2} (\frac{d^{2} y}{d x^{2}})^{2} + 3 x (\frac{d y}{d x})^{\frac{1}{3}} + x^{2} y^{2} = s i n x$ , then

p > q

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\frac{p}{q} = \frac{1}{2}

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p = q

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p < q

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Solution

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Similar questions

y^{2} {(\frac{d^{2} y}{d x^{2}})}^{2} + 3 x {(\frac{d y}{d x})}^{\frac{1}{3}} + x^{2} y^{2} = s i n x

y^{2} {(\frac{d^{2} y}{d x^{2}})}^{2} + 3 x {(\frac{d y}{d x})}^{\frac{1}{3}} + x^{2} y^{2} = s i n x

y^{2} (\frac{d^{2} y}{d x^{2}})^{2} + 3 x (\frac{d y}{d x})^{\frac{1}{3}} + x^{2} y^{2} = s i n x

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y^{2} (\frac{d^{2} y}{d x^{2}}) + 3 x {(\frac{d y}{d x})}^{\frac{1}{3}} + x^{2} y^{2} = sin x

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y^{2} {(\frac{d^{2} y}{d x^{2}})}^{3} + 3 x \frac{d y}{d x} + x^{2} y^{2} = s i n x

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