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The differential equation of the family ...

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

A

`y^(2) = 4 dy/dx (x+dy/dx)

B

`2y dy/dx = 4a`

C

`y (d^(2)y)/dx^(2) + (dy/dx)^(2) =0`

D

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

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  3. The differential equation of the family of curves y^(2) = 4a(x+a) is

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  4. General solution of (dy)/(dx)+ytan x = sec x is :

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

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  8. The solution of the differential equationdy/dx + (2x)/(1+x^(2)) y = 1/...

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  9. The solution of the differential equation cosy. cos x dx + sin x . Sin...

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  10. The degree of the differential equation (d^(2)y)/(dx^(2)) + [1+ (dy/dx...

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  11. 19. The elimination of A and B from the equation y^(2) = Ax+B gives di...

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  12. The solution of the differential equation y sec^(2) x dx + tan x . Sec...

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  13. If m and n are order and degree of the differential equation ((d^(2)y)...

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

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  16. The order and degree of the differential equation x (d^(2)y)/(dx^(2)) ...

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

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  18. Which of the following functions is a solution of the differential equ...

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  19. The solution for the differential equation (dy)/(y)+(dx)/(x)=0 is

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  20. The differential equation for which sin^(-1)x+sin^(-1)y=C is given by

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