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The general solution of the different...

The general solution of the differential equation `e x" "dy" "+" "(y" "e x" "+" "2x)" "dx" "=" "0` is (A) `x""e y+x^2=C` (B) `x""e y+y^2=C` (C) `y""e x+x^2=C` (D) `y""e y+x^2=C`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Objective Type Questions (A. Multiple Choice Questions) ( Questions from NCERT Textbook:)
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  3. The number of arbitrary constants in the general solution of a diff...

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  4. The number of arbitrary constants in the particular solution of differ...

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  5. Which of the following differential equations has y=c(1)e^(x)+c(2)e^(-...

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

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  8. Which of the following differential equation cannot be solved, using v...

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

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  10. Which of the following is a homogeneous differential equation?(A) (4...

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  11. The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2...

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

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

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  14. The general solution of a differential equation of the type (dx)/(d...

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  15. The general solution of the differential equation e x" "dy" "+" "(y...

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  16. The degree of the differential equation representing the family of cu...

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