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Order of a Differential Equation

Find order an...

Question

Find order and degree:
$x {(\frac{d^{3} y}{d x^{2}})}^{2} + {(\frac{d y}{d x})}^{4} + y^{2} - e^{- x}$

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Solution

$h i g h e s t l e v e l o f d e r i v a t i v e u s e d = 3 = o r d e r p o w e r r a i s e d t o t h e t e r m w i t h d e r i v a t i v e o f o r d e r 3 = 2 = d e g r e e$

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Q. The order and degree of the differential equation

x \frac{d^{3} y}{d x^{3}} - {(\frac{d^{2} y}{d x^{2}})}^{2} = 0

Q. Write the degree of the differential equation

x^{3} {(\frac{d^{2} y}{d x^{2}})}^{2} + {(\frac{d y}{d x})}^{4} = 0

Q. Write the order and the degree of the following differential equation :

x^{3} {(\frac{d^{2} y}{d x^{2}})}^{2} + x {(\frac{d y}{d x})}^{4} = 0

Q. The order and degree of

x = \frac{\frac{d^{3} y}{d x^{2}}}{\sqrt{1 - {(\frac{d y}{d x})}^{4}}}

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{(\frac{d^{2} y}{d x^{2}})}^{3} - {(\frac{d y}{d x})}^{4} + y^{3} = csc x

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