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The general solution of the differentia...

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`

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Objective Type Questions (A. Multiple Choice Questions) ( For Board Examinations :)
  1. Degree of differential equation (d^(2)y)/(dx^(2))+((dy)/(dx))^(3)+y=0 ...

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  2. (dy)/(dx)-cosx=0

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  3. Find the order and degree of y\'\'\'+y^2+e^(y\')=0

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  4. Find the order and degree of y\'\'\'+y^2+e^(y\')=0

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  5. The order of the differential equation 2x^2(d^2y)/(dx^2)-3(dy)/(dx)+y=...

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  6. what is the degree of the differential equation (d^(3)y)/(dx^(3) +2 (...

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

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  8. What is the integrating factor of the differential equation (1-y^(2))(...

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  9. Integrating factor of differential equation : (dy)/(dx)+y=3 is :

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  10. Order and degree of the differential equation (d^(2)y)/(d^(2))+2...

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  11. Find the order and degree, if defined, of each of the following dif...

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  12. The solution of the differential equation : (dy)/(dx)=e^(x)+1 is :

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  13. The order of the differential equation 2x^2(d^2y)/(dx^2)-3(dy)/(dx)+y=...

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

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  15. Order of the differential equation : (d^(2)y)/(dx^(2))-((dy)/(dx))^(...

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  16. The order of the differential equation 2x^2(d^2y)/(dx^2)-3(dy)/(dx)+y=...

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

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  18. The integrating factor of the differential equation : (dx)/(dy)+x/y=...

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  19. The degree of the differential equation : (1+ (dy)/(dx))^(5)=((d^(2)...

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