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Which of the following differential equa...

Which of the following differential equations has `y=c_(1)e^(x)+c_(2)e^(-x)` as the general solution ?

A

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

B

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

C

`(d^(2)y)/(dx^(2))+1=0`

D

`(d^(2)y)/(dx^(2))-1=0`

Text Solution

Verified by Experts

The correct Answer is:
B
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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Objective Type Questions (A. Multiple Choice Questions) ( Questions from NCERT Textbook:)
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  2. The order of the differential equation 2x^2(d^2y)/(dx^2)-3(dy)/(dx)+y=...

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  3. The number of arbitrary constants in the general solution of a diff...

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  4. The number of arbitrary constants in the particular solution of differ...

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  5. Which of the following differential equations has y=c(1)e^(x)+c(2)e^(-...

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  6. Which of the following differential equations has y = x as one of its...

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

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  8. Which of the following differential equation cannot be solved, using v...

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  9. A homogeneous differential equation of the from (dx)/(dy)=h(x/y)can ...

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  10. Which of the following is a homogeneous differential equation?(A) (4...

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  11. The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2...

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  12. What is the integrating factor of the differential equation (1-y^(2))(...

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  13. The general solution of the differential equation (ydx-xdy)/(y)=0 is :

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  14. The general solution of a differential equation of the type (dx)/(d...

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  15. The general solution of the differential equation e x" "dy" "+" "(y...

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  16. The degree of the differential equation representing the family of cu...

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