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Solution of differential equation log((d...

Solution of differential equation `log((dy)/(dx))=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`

Text Solution

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The correct Answer is:
B
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NIKITA PUBLICATION-APPLICATION OF DEFINITE INTEGRAL-MULTIPLE CHOICE QUESTIONS:(MCQ)
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  3. Find the area of the region bounded by x^2=16 y ,\ y=1,\ y=4 and the y...

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  4. Find by integration the area of the region bounded by the curve y=2x-x...

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  5. Find the area of the region bounded by: the parabola y=x^2 and the li...

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  6. The area of the region bounded by the parabola y = x^(2) and the line ...

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  7. The area of the region described by the curves y^(2) = 2x and y = 4x -...

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  8. Find the area enclosed by the parabola 4y=3x^2 and the line2y = 3x + ...

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  9. Find the area of the region bounded by the parabola "x"^2=4"y\ " an...

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  10. The area of the region bounded by the curves y^(2)=4a^(2)(x-1) and the...

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  11. Find the area of the region bounded by the curve (y-1)^2=4(x+1) and th...

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  12. The area of the region bounded by the parabola y^(2) = 16 (x - 2) and ...

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  13. Find the area of the region included between the parabolas y^2=4a x...

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  14. Find the area of the region bounded by the two parabolas y=x^2and y^2...

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  15. The area between parabolas y^(2) = 7x and x^(2) = 7 y is

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  16. Find the area of the region bounded by the curves y^(2)=x+1 and y^(2)=...

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  17. The area of the plane region bounded by the curves x + 2y^(2)=0 and x+...

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  18. Find the area enclosed between first quadrant of a circle x^2 + y^2 = ...

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  19. Find the area enclosed between the circle x ^ 2 + y ^ 2 = 1...

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  20. Using integration, find the area of the region common to the circle x^...

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  21. The area lying above the X-axis and included between the circle x^(2) ...

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