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If cos x and sinx are the solution of di...

If cos x and sinx are the solution of differential equation `a_o (d^2y)/(dx^2) + a_1 (dy)/(dx) + a_2 y = 0` where `a_0,a_1,a_2` are real constants then which of the following is true

A

`A cos x+B sin x` is a solution, where A and B are real constants

B

`A cos (x+ (pi)/(4))` is a solution, where A is a real constant

C

`A cos x sin x` is a solution, where A is a real constant

D

`A cos (x+ (pi)/(4)) +B sin (x -(pi)/(4))` is a solution, where A and B are real constants

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The correct Answer is:
A, B, D
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MTG-WBJEE-DIFFERENTIAL EQUATIONS-WB JEE Previous Years Questions
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  2. The integrating factor of the differential equaion (1+x^(2))(dy)/(dx)+...

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  3. The solution of the differential equation y"dy"/"dx"=x[y^2/x^2 + (phi(...

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  4. The curve y=(cosx+y)^(1/2) satisfies the differential equation :

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  5. If y=e^-x cos2x then which of the following differential equations is ...

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  6. The integrating factor of the differential equation (dy)/(dx)+(3x^2tan...

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  7. If the solution of the differential equation x(dy)/(dx) +y = xe^(x) "b...

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  8. The order of the differential equation of all parabols whose axis of s...

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  9. General solution of (x+y)^(2) (dy)/(dx)= a^(2), a ne 0 is (c is an arb...

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  10. The integrating factor of the first order differential equation x^2(x^...

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  11. The differential equation representing the family of curves y^(2)= 2d ...

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  12. Let y(x) be a solution of (1+x^2)"dy"/"dx"+2xy-4x^2=0 and y(0)=-1 Th...

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  13. Solution of the differential equation (1+e^(x/y))dx + e^(x/y)(1-x/y)dy...

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  14. The solution of the differential equation (y^(2)+2x) (dy)/(dx)=y satis...

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  15. The solution of the differential equation y sin (x//y) dx= (x sin (x//...

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  16. The solution of the differential equation (dy)/(dx) + (y)/(x log(e)x)=...

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  17. General solution of y(dy)/(dx) + by^(2)=a cos x, 0 lt x lt 1 is

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  18. If u(x) and v(x) are two independent solution of the differential equa...

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  19. If cos x and sinx are the solution of differential equation ao (d^2y)/...

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