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The differential equation of the family ...

The differential equation of the family of curve `y = ax + (1)/(a)`, where `a ne 0` is an arbitrary constant, has the degree

A

4

B

3

C

1

D

2

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - I
  1. The order of the differential equation (d^(2)y)/(dx^(2)) + ((dy)/(dx...

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

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  3. The differential equation of the family of curve y = ax + (1)/(a), whe...

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  4. Order of the differential equation of the family of all concentric cir...

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  5. The degree and order of the differential equation of the family of all...

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  6. The differential equation by eliminating A and B from y = Ae^(3x) + Be...

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  7. The differential equationby eliminating arbitrary constants from the e...

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  8. The differential equation by eliminating A, B from y = 5e^(5x)(Ax+B) i...

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  9. The differential equation by eliminating A, B from y = e^(2x) = (A cos...

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  10. The differential equation by eliminating A, B, C from y = Ae^(2x) + Be...

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  11. y=Ae^(x)+Be^(2x)+Ce^(3x) satisfies the differential equation

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  12. The differential equation by eliminating A, B from y = e^(3x)(A+Bx + C...

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  13. Form the differential equation by eliminating the arbitrary constant f...

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  14. The differential equation of the family of parabolas having vertices a...

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  15. Form the differential equation from ax^(2) + by^(2) = 1

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  16. The differential equation of family of circles of fixed radius 5 units...

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  17. Form the differential equation by eliminating the arbitrary constant f...

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  18. dx + dy = (x + y) (dx -dy) rArr log (x + y) =

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  19. The solution of the equation (dy)/(dx) = e^(-2x) is

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  20. The solution of the cosec^(2x)(dy)/(dx) - (1)/(y) = 0 is

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