The degree and order of the D.E d2ydx23/2−dydx1/2−4=0 are

y23/2=4+y1/2Sq y23=16+y+8y1/2y23−16−y2=8y122Degree – 6, Order - 2

The degree and order of the D.E d2ydx23/2−dydx1/2−4=0 are

y23/2=4+y1/2Sq y23=16+y+8y1/2y23−16−y2=8y122Degree – 6, Order - 2

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The degree and order of the $D . E {(\frac{d^{2} y}{d x^{2}})}^{3 / 2} - {(\frac{d y}{d x})}^{1 / 2} - 4 = 0$ are

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$(6, 1)$

$(6, 2)$

$(3, 2)$

$(3, 1)$

answer is B.

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Detailed Solution

${y_{2}}^{3 / 2} = 4 + y^{1 / 2}$

Sq $y_{2}^{3} = 16 + y + 8 y^{1 / 2}$

${(y_{2}^{3} - 16 - y)}^{2} = {(8 y^{\frac{1}{2}})}^{2}$

Degree – 6, Order - 2

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The degree and order of the D.E d2ydx23/2−dydx1/2−4=0 are

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The degree and order of the $D . E {(\frac{d^{2} y}{d x^{2}})}^{3 / 2} - {(\frac{d y}{d x})}^{1 / 2} - 4 = 0$ are