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The differential equation for which y=a ...

The differential equation for which `y=a cos x+b sin x ` is a solution, is

A

`(d^(2)y)/(dx^(2)) + y = 0`

B

`(d^(2)y)/(dx^(2)) - y = 0`

C

`(d^(2)y)/(dx^(2)) + (a+b)y = 0`

D

`(d^(2)y)/(dx^(2)) + (a-b)y = 0`

Text Solution

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The correct Answer is:
A
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AAKASH INSTITUTE-DIFFERENTIAL EQUATIONS-Assignment (Section - A) Competition Level Questions
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  2. Which of the following differential equations has y = x as one of its...

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  3. The differential equation for which y=a cos x+b sin x is a solution, ...

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  4. The solution of (dy)/(dx)+y=e^(-x),y(0)=0, is

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  5. Which of the following is general solution of (d^(2)y)/(dx^(2)) - 2(dy...

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  6. Solution of the differential equation xdy-ydx=0 represents

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  7. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is (...

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  8. Solution of the differential equation tan y.sec^(2) x dx + tan x. sec^...

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  9. Integrating factor of x(dy)/(dx) - y = x^(4) - 3x is

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  10. The general solution of differential equation (e^(x) + 1) y dy = (y + ...

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

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  12. The solution of differential equation (dy)/(dx) + (2xy)/(1+x^(2)) = (1...

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  13. The number of solution of dy / dx = (y +1) / (x-1) when y(1) = 2 is

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  14. The differential equation y(dy)/(dx) + x = c represents

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  15. The integrating factor of differential equation dy/dx+y=(1+y)/x is

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  16. The differential equation for the family of curves x^(2)-y^(2)-2ay=0, ...

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  17. The general solution of (dy)/(dx) = 2x e^(x^(2)-y) is

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  18. The curve in which the slope of the tangent at any point equal the rat...

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  19. The solution of the equation (2y-1)dx - (2x + 3)dy = 0 is

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  20. Let f(x) = secx*f'(x), f(0) = 1, then f(pi/6) is equal to (i)1/sqrte ...

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