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Order of the differential equation whose...

Order of the differential equation whose general solution is `y = (ax)/(bx + c)`, where a, b, c are arbitrary constants is

A

1

B

2

C

3

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`y=(ax)/(bx+c)`
`rArr" "y=(x)/((b)/(a)x+(c)/(a))`
`rArr" "y=(x)/(lambda x + mu)`
`rArr" "`Order is 2
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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
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  2. The order of the differential equation whose general solution is y = c...

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  3. Order of the differential equation whose general solution is y = (ax)/...

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  4. If p and q are order and degree of differential equation y^(2)((d^(2)y...

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  5. Find the order of the differential equation (d^2y)/(dx^2)-((dy)/(dx))^...

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  6. If the differenential equation (dx)/(3y+f)+(dy)/(px+g)=0 represents a ...

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  7. The general solution of (dy)/(dx) = 1 - x^(2) -y^(2) + x^(2) y^(2) is

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  8. solve the differential equation (1+t^2)dx/dt=2t

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  9. The solutino of the differential equation (x^(2)-yx^(2))(dy)/(dx)+y^(2...

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  10. solve dy/dx=2x+1

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  11. The solution of the differential equation y^(2)dx- x^(2)dy = 0 is

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  12. The solution of differential equation (1-xy + x^(2) y^(2))dx = x^(2) d...

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  13. Find (dy)/(dx) from y = c\ sinx where c is a constant.

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  14. If the solution of the equation (d^(2)x)/(dt^(2))+4(dx)/(dt)+3x = 0 gi...

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  15. Solve (dy)/(dx)=e^(x+1)

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  16. Solve (dy)/(dx)=x^2+1

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  17. Solve (dy)/(dt)=(1+t)^2

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  18. If (dy)/(dx)-y log(e) 2 =0, then y =

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  19. If ye^(y) dx = (y^(3) + 2xe^(y))dy, then the I.F will be

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  20. Find y(x) from the differential equation (dy)/(dx)-x^2y = 0,

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