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The differential equation obtained on eliminating A and B from `y=A cos\ omegat+bsinomegat ,` is (a)`y^(primeprime)+ y^(prime)=0` (b.) `y^(primeprime)+omega^2y=0` (c.) `y^(primeprime)=omega^2y` (d.) `y^(primeprime)+y=0`

A

`y^(n)+y'=0`

B

`y^(n)+w^(2)y=0`

C

`y^(n)=w^(2)y`

D

`y^(n)+y=0`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Chapter Test
  1. The solution of the differential equation (dy)/(dx)=e^(y+x)+e^(y-x), i...

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  2. The differential equation of the family of curves y=e^(2x)(a cos x+b s...

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  3. The differential equation obtained on eliminating A and B from y=A c...

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  4. The solution of (dy)/(dx)=((y)/(x))^(1//3), is

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  5. The slope of the tangent at (x , y) to a curve passing through a po...

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  6. Solve Y-X(dy)/(dx)=a(y^(2)+(dy)/(dx))

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

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  8. The general solution of the differential equation (dy)/(dx)+sin((x+y)/...

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  9. The solution of (dy)/(dx)-y=1, y(0)=1 is given by

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  10. The number of solution of y'=(x+1)/(x-1),y(1)=2, is

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  11. What is the solution of y'=1+x+y^(2)+xy^(2),y(0)=0?

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  12. Solution of the differential equation x(dy)/(dx)=y+sqrt(x^(2)+y^(2)), ...

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  13. Integral curve satisfying Y'=(x^2 +y^2)/(x^2-y^2) y' (1) ne 1 has th...

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  14. The differential equation which represents the family of plane curves ...

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  15. A continuously differentiable function y=f(x) , x in ((-pi)/(2) ,(pi)/...

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  16. The solution of the differential equation (d^(2)y)/(dx^(2))=e^(-2x), i...

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  17. The order and degree of the differential equation (d^(2)y)/(dx^(2))=sq...

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  18. The solution of differential equation (dy)/(dx)=y/x+(phi(y/x))/(phi'(y...

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  19. The solution of the equation log ((dy)/(dx))=a x+b y is (a) ( b ) (...

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  20. tan^(-1) x+tan^(-1)y=C is general solution of the differential equatio...

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