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y=cx-c^(2) is the general solution of th...

`y=cx-c^(2)` is the general solution of the differential equation.

A

`(y')^(2)-xy+y=0`

B

`y^(n)=0`

C

`y'=c`

D

`(y')^(2)+xy'+y=0`

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A
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FULL MARKS-ORDINARY DIFFERENTIAL EQUATIONS -ADDITIONAL PROBLEMS
  1. The I.E. of (1+y^(2))dx=(tan^(-1)y-x)dy is .

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  2. dx+xdy = e^(-y)sec^(2)ydy

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  3. In a certain chemical reaction the rate of conversion of a susbtance ...

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  4. The temperature T of a cooling object drops at a rate proportional to...

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  5. The sum of Rs 1000 is compounded continously the nominal rate of inte...

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  6. A cup of coffee at temperature 100^@C is placed in a room whose temper...

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  7. The rate at which the population of a city increases at any time is pr...

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  8. The integrating factor of (dy)/(dx) +2 y/x = e^(4x) is :

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  9. If cos x is an integrating factor of the differntial equation (dy)/(dx...

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  10. dx+xdy = e^(-y)sec^(2)ydy

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  11. The integrating factor of (dy)/(dx)+(1)/(xlogx)y= (2)/(x^(2)) is :

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  12. Solution of (dx)/(dy)+mx=0 where m lt 0 is

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  13. y=cx-c^(2) is the general solution of the differential equation.

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  14. Find the differential equation of the family of (i) all non- vertical ...

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  15. The differential equation of all circles with centre at the origin i...

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  16. The differential equation of the family of lines y = mx is :

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  17. The degree of the differntial equation sqrt(1+(dy/dx)^(1//3))=(d^(2)y)...

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

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  19. The amount present in a radio active element disintegrates a rate ...

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  20. On putting y =vx the homogeneous equation x^(2)dy+y(x+y)dx=0 becomes ...

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