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The degree of differential equation (d^(...

The degree of differential equation `(d^(2)y)/(dx^(2))+((dy)/(dx))^(3)+6y^(5)=0` is

A

1

B

2

C

3

D

5

Text Solution

Verified by Experts

`(d^(2)y)/(dx^(2))+((dy)/(dx))^(3)+6y^(5)=0`
We know that the degree of a differentia equations is exponent heightest of order derivative.
`therefore "Degree"=1`
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NCERT EXEMPLAR-DIFFERENTIAL EQUATIONS -Differential Equations
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  2. The general solution of e^(x) cos ydx-e^(x) sin dy=0 is

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  3. The degree of differential equation (d^(2)y)/(dx^(2))+((dy)/(dx))^(3)+...

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  4. The solution of (dy)/(dx)+y=e^(-x), y(0)=0 is

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  5. The integrating factor of differential equation (dy)/(dx)+y tan x -sec...

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  6. The solution of differential equation (dy)/(dx)=(1+y^(2))/(1+x^(2))"is...

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  7. The integrating factor of differential equation (dy)/(dx)+y=(1+y)/(x)"...

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

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  9. The solution the differential equation "cos x sin y dx" + "sin x c...

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  10. The solution of x(dy)/(dx)+y=e^(x)"is"

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  11. The differential equation of the family of curves of x^(2)+y^(2)-2ay=0...

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  12. The family y=Ax+A^(3) of curves is represents by differential equation...

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  13. The general solution of (dy)/(dx)=2xe^(x^(2)-y) is

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  14. The curve for which the slope of the tangent at any point is equal to ...

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  15. The general solution of differential equation (dy)/(dx)=e^((x^(2))/(2)...

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  16. The solution of equation (2y-1)dx-(2x+3)dy=0 is

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  17. The differential equation for which y=a cos x+b sin x is a solution is

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  18. The solution of (dy)/(dx)+y=e^(-x), y(0)=0 "is"

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  19. The order and degree of differential equation: ((d^(3)y)/(dx^(3)))^(...

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  20. The order and degree of differential equation: [1+((dy)/(dx))^(2)]=(d^...

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