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Which of the following differential equa...

Which of the following differential equation has the same order and degree?

A

`(d^4y)/(dx^4)+8("dy"/"dx")^6 + 5y =e^x`

B

`5((d^3y)/(dx^3))^4 + 8 (1+(dy)/(dx))^2 + 5y=x^8`

C

`[1+("dy"/"dx")^3]^(2//3) = 4 (d^3y)/(dx^3)`

D

`y=x^2 (dy)/(dx)+ sqrt(1+("dy"/"dx")^2)`

Text Solution

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The correct Answer is:
C
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
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  2. If m and n are the order and degree of the differential equation ((d^2...

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  8. y=ae^(mx)+be^(-mx) satisfies which of the following differential equat...

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  10. The differential equation, obtained on eliminating A and B from the eq...

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  12. The differential equation whose solution is y=c1 cos ax + c2 sin ax is

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