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The general solution of the differential...

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

A

`e^(x) + e^(-y) = c`

B

`e^(x) + e^(y) = c`

C

`e^(-x) + e^(y) = c`

D

`e^(-x) + e^(-y) = c`

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The correct Answer is:
A
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  2. Which of the following differential equations has y = c(1)e^(x) + c(2)...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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