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Which of the following differential equa...

Which of the following differential equations has y=x as one of its particular solution

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  2. The number of arbitary constants in the particular solution of a diff...

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  3. Which of the following differential equations has y=x as one of its pa...

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  4. Which of the following differential equations has y = c(1)e^(x) + c(2)...

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  5. The general solution of the differential equation dy/dx = e^(x+y) is

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  6. A homogeneous differential equation of the from (dx)/(dy) = h((x)/(y))...

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  7. Which of the following is a homogeneous differential equation?

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  8. The integrating factor of the differential equation x dy/dx-y= 2x^(2) ...

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  9. The Integrating Factor of the differential equation (1 - y^(2))(dx)/(d...

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  10. The general solution of the differential equation (ydx-xdy)/y =0 is

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  11. The general solution of a differential equation of the type dx/dy + P(...

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  12. The general solution of the differential equation e^(x)dy + (ye^(x)+2x...

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  13. The degree of the differential equation (1+dy/dx)^(3) = ((d^(2)y)/dx^(...

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

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  15. The order and the degree of the equation [1+(dy/dx)^(2)] = (d^(2)y)/(d...

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  16. The order of differential equation of all circles of given radius "...

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  17. The solution of the differential equation 2x dy/dx-y=3 represent

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  18. The integrating factor of the differential equation : (dy)/(dx)(xlo...

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

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  20. Which of the following is not a homogeneous function of x and y

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