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The differential equation corresponding ...

The differential equation corresponding to the family of curves `y=e^x (ax+ b)` is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Single Option Correct Type Questions)
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  2. passes through a curve point (1,pi/4) and at some point Its gradation ...

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  3. The x-intercept of the tangent to a curve is equal to the ordinate of ...

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  4. A function y = f(x) satisfies the condition f'(x) sin x + f(x) cos x=...

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  5. A curve is such that the area of the region bounded by the co-ordinate...

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  6. The value of the constant 'm' and 'c' for which y = mx + c is a soluti...

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  7. Find the real value of m for which the substitution y=u^m will transfo...

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  8. The solution of the differential equation, x^(2)dy/dxcos""(1)/(x)-ysi...

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  9. A wet porous subtance in the open air loses its moisture at a rate pro...

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  10. A curve C passes through origin and has the property that at each poin...

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  11. A function y=f(x) satisfies (x+1)f^(prime)(x)-2(x^2+x)f(x)=(e^x^2)/((x...

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  12. The curve with the property that the projection of the ordinate on ...

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  13. The differential equation corresponding to the family of curves y=e^x ...

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  14. The equation to the orthogonal trajectories of the system of parabolas...

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  15. A function satisfying int0^1f(tx)dt=nf(x), where x>0 is

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  16. The substituion y=z^(alpha) transforms the differential equation (x^(2...

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  17. A curve passing through (2,3) and satisfying the differential equat...

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  18. Which one of the following curves represents the solution of the initi...

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