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The general solution of the differential...

The general solution of the differential equation ` x(dy)/(dx)+x =0` is ?

A

xy=c

B

x=cy

C

x+y=c

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Given differential equation is
` x (dy)/(dx) +y=0`
` Rightarrow xdy +ydx =0`
` Rightarrow xdy =- ydx`
` Rightarrow (dy)/y =- (dx)/x`
On integratingh both side we get
` lny = - lnx + lnc`
` Rightarrow ( y= c/x)`
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NDA PREVIOUS YEARS-DIFFERENTIAL EQUATION-MCQs
  1. Find the general solution of each of the following differential equati...

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  2. What is the degree of the differential equation. ((d^(4)y)/(dx^(4))...

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  3. The general solution of the differential equation x(dy)/(dx)+x =0 is ...

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  4. The general solution of the differential equation ln ((dy)/(dx))+x =0...

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  5. The differential equation of the curve y =sin is

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  6. The degree and order respectively of the differential equation (dy)/(...

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  7. what is the order of the differential equation ((dy)/(dx))^(2) +(dy)/...

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  8. y=2cosx +3 sin x satisfies which of the following differenital equati...

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  9. The differenital equation of all circles whose centres are at the orig...

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  10. The solution (dy)/(dx) = |x| is :

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  11. What is the solution of (dy)/(dx) + 2y =1 satisfying x=0,y=0 ?

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  12. What is the general solution of the differential equation x dy -ydx =y...

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  13. The general solution of the differential equation (x^(2) +x+1) dy + (...

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  14. The general solution of the differential equation (x^(2) +x+1) dy + (...

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  15. The general solution of the differential equation (x^(2) +x+1) dy + (...

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  16. The number of arbitrary constants in the particular solution of a d...

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  17. Consider the following statements in respect of the differential equat...

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

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  19. What is the solution of the equation In ((dy)/(dx))+x =0 ?

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  20. Eliminating the arbitary constants B and C in the expression y = 2...

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