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The solution of differential equation (d...

The solution of 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) =(1)/(3)x^(3) + c `

C

`e^(x) + e^(y) = (1)/(3)x^(3) + c `

D

`e^(x)-e^(y) = (1)/(3)x^(3) + c `

Text Solution

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The correct Answer is:
B
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DISHA PUBLICATION-DIFFERENTIAL EQUATIONS -Exercise-2 : Concept Applicator
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  2. The solution of the equation (dy)/(dx)=((y^(2) -y-2))/(x^(2) + 2x+3) i...

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

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  4. Let f be a non-negative function defined on the interval [0,1]. If int...

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  5. Solution of the differential equation (1+e^(x/y))dx + e^(x/y)(1-x/y)dy...

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  6. In a culture, the bacteria count is 1,00,000. The number is increas...

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  7. The solution of the differential equation (dy)/(dx)=(4x+y+1)^(2), is

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  8. The solution of the differential equation x^(3)(dy)/(dx)+4x^(2) tany=e...

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  9. Solution of the differential equation ((x+y-1)/(x+y-2))(dy)/(dx)=((x+y...

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  10. Solve (1+e^((x)/(y)))dx + e^((x)/(y)) (1-(x)/(y))dy = 0

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  11. The function f(x) satisfying the equation f^2 (x) + 4 f'(x) f(x) + (...

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  12. v34

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  13. Solve: dy/dx=(y f\'(x)-y^2)/f(x), where f(x) is a given function of x

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  14. The solution of the differential equation (x+y)^(2)(dy)/(dx) = a^(2...

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  15. The particular solution of the differential equation sin^(-1)((d^2 y)/...

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  16. Solution of differential equation (x^(2) -2x + 2y^(2)) dx + 2xy dy = ...

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  17. Solution of differential equation (dy ) /( dx) +(x ) /( 1 - x^2) y= ...

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  18. Find the general solution of the differential equation: (tan^-1y - x)d...

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  19. Which of the following is a second order differential equatoin

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  20. The curve that satisfies the differential equation y'=(x^(2) + y^2)/(2...

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