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y=2cosx +3 sin x satisfies which of the...

y=2cosx +3 sin x satisfies which of the following differenital equations ?
1.` (d^(2)y)/(dx^(2))+y=0 ` 2. ` ((dy)/(dx))^(2)+ (dy)/(dx) =0`
select the correct answer using the code given below.

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

Verified by Experts

The correct Answer is:
A
y = 2 cos x + 3 cos x
` (dy)/(dx) = -2 sin x +3 cos x`
` (d^(2)y)/(dx) = -2 cos - 3 sin x`
` = - (2 cos x +3 sin x)`
-y
` (d^(2)y)/(dx^(2)) +y=0`
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NDA PREVIOUS YEARS-DIFFERENTIAL EQUATION-MCQs
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  2. what is the order of the differential equation ((dy)/(dx))^(2) +(dy)/...

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

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

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

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

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

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

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

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

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

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

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

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

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  16. what is the solution of the differential equation 2dy/dx=y(x+1) // x...

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  17. What is the solution of the differential equation sin ((dy)/(dx))-...

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  18. what is the solution of the differential equation (dx)/(dy) +x/y -...

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  19. Consider the following statement 1. The general solution of (dy)/(d...

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  20. The degree of the differential equation : (dy)/(dx)-x=(y-x(dy)/(dx))^(...

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