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The solution of the differential equatio...

The solution of the differential equation `dy/dx = e^(x-y)+ x^(2)e^(-y)` is

A

`y = e^(x-y) - x^(2)e^(-y)+c

B

`e^(y)-e^(x) = x^(3)/3 +c`

C

`e^(x) +e^(y) = x^(3)/3 + c`

D

`e^(x)-e^(y) = x^(3)/3 + c`

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  2. The general solution of the differential equation (e^(x)+1)y dy = (y+1...

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  3. The solution of the differential equation dy/dx = e^(x-y)+ x^(2)e^(-y)...

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  4. The solution of the differential equationdy/dx + (2x)/(1+x^(2)) y = 1/...

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  5. The solution of the differential equation cosy. cos x dx + sin x . Sin...

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  6. The degree of the differential equation (d^(2)y)/(dx^(2)) + [1+ (dy/dx...

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  7. 19. The elimination of A and B from the equation y^(2) = Ax+B gives di...

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  8. The solution of the differential equation y sec^(2) x dx + tan x . Sec...

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  9. If m and n are order and degree of the differential equation ((d^(2)y)...

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  10. The solution of dy/dx = 2^(y-x) is

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  11. The differential equation obtained by eliminating A and B from y = A c...

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

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  13. y=ae^(mx)+be^(-mx) satisfies which of the following differential equat...

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

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  15. The solution for the differential equation (dy)/(y)+(dx)/(x)=0 is

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  16. The differential equation for which sin^(-1)x+sin^(-1)y=C is given by

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  17. The general solution of the differential equation dy/dx + (1+ cos 2y)/...

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  18. The degree of the differential Equation (1+((dy)/(dx))^(2))^(3//4)=(...

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  19. Form the differential equation of the family of circles touching the y...

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  20. The general solution of the differential equation (2x - y + 1) dx + (2...

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