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The differential equation of all straigh...

The differential equation of all straight lines passing through the point (1,-1) is

A

`y=(x+1)"dy"/"dx"+1`

B

`y=(x+1)"dy"/"dx"-1`

C

`y=(x-1)(dy)/(dx)+1`

D

`y=(x-1)(dy)/(dx)-1`

Text Solution

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The correct Answer is:
D
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
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  2. The solution of (dy)/(dx)+y=e^(x) is

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  3. The differential equation of all straight lines passing through the po...

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  4. The differential equation representing the family of curves y=xe^(cx) ...

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  5. The differential equation of all circles which passes through the orig...

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  6. The solution of the equation (dy)/(dx)=e^(x-y) + x^2 e^(-y) is

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  7. Solution of differential equation log((dy)/(dx))=x+y is

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  8. Solve the following differential equation: xcosy\ dy=(x e^xlogx+e^x)dx

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

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  10. Solution of (dy)/(dx)+2x y=y is (a) ( b ) (c) y=c (d) e^( e ) (f) x...

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  11. Solve the following differential equation: (dy)/(dx)=(1-cos x)/(1+cosx...

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  12. Find the general solution of each of the following differential equat...

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  13. The solution of the differential equation x(e^(2y)-1)dy + (x^2-1) e^y ...

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  14. The solution of the differential equation x^2dy=-2xydx is

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  15. The differential equations cos y dx = x dy has solution of the form

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  16. The general solution of the differential equation (dy)/(dx)=cot x cot ...

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  17. The solution of the differential equation x sec y "dy"/"dx"=1 is

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  18. The general solution of the equation (e^y + 1)cos x dx + e^y sin x dx=...

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  19. The general solution of the differential equation y dx +(1+x^2) tan^(...

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  20. Solve : 3e^xtany dx+(1-e^x)sec^2y\ dy=0

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