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The family y=Ax+A^(3) of curves is repre...

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

A

3

B

2

C

1

D

not defined

Text Solution

Verified by Experts

Given family of curves is `y=Ax+A^(3)`
`Rightarrow (dy)/(dx)=A`
Replacing A by `(dy)/(dx)` in Eq.(i) we get
`y=x(dy)/(dx)+((dy)/(dx))^(3)`
`therefore "Order"=1`
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NCERT EXEMPLAR-DIFFERENTIAL EQUATIONS -Differential Equations
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  2. The differential equation of the family of curves of x^(2)+y^(2)-2ay=0...

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

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

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

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

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

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

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

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

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

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  12. The differential equation of family of curves of y^(2)=4a(x+a)is

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  13. Which of the following is a general solution of (d^(2)y)/(dx^(2))-2(dy...

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  14. The general solution of (dy)/(dx)+y tan x=sec x is

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  15. The solution of differential equation (dy)/(dx)+(y)/(x)=sin x is

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

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  17. The solution of differential equation (dy)/(dx)=e^(x-y)+x^(2)e^(-y)is

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  18. The solution of differential equation (dy)/(dx)+(2xy)/(1+x^(2))=(1)/(1...

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  19. (i) The degree of the differential equation (d^(2)y)/(dx^(2))+e^(dy//d...

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  20. State True and False for the following (i) Integrating factor of the...

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