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The general solution of the differential...

The general solution of the differential equation `e^(x)dy + (ye^(x)+2x) dx =0` is

A

`xe^(y)+x^(2)=c`

B

`xe^(y)+y^(2)=c`

C

`ye^(x)+x^(2)=c`

D

`ye^(y)+x^(2)=c`

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  2. The general solution of a differential equation of the type dx/dy + P(...

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

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

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

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

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

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

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

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

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

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  12. Solution of the differential equation (dx)/(x)+(dy)/(y)=0 is

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  13. Find the general solution of the differential equation x(dy)/(dx)+ 2y=...

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

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  15. The degree of the equation [1+(dy/dx)^(2)]^(3/2) = ((d^(2)y)/dx^(2)) i...

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

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  17. If y=e^(-x)(Acosx+Bsinx), then y satisfies :

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  18. The differential equation for y = A cos alpha x + B sin alpha x Where ...

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  19. Solution of the differential equation xdy-ydx =0 represents

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  20. Integrating factor of the differential equation cos x dy/dx + y sin x ...

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