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The differential equation for which sin^...

The differential equation for which `sin^(-1) x + sin^(-1) y = c` is given by

A

`sqrt(1-x^2) dx + sqrt(1-y^2) dy=0`

B

`sqrt(1-x^2)dy + sqrt(1-y^2)dx=0`

C

`sqrt(1-x^2) dy - sqrt(1-y^2) dx = 0`

D

`sqrt(1-x^2) dx - sqrt(1-y^2) dy = 0 `

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
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  2. The differential equation whose solution is y=c1 cos ax + c2 sin ax is

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  3. The differential equation for which sin^(-1) x + sin^(-1) y = c is giv...

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  4. Form the differential equation having y=(sin^(-1)x)^2+Acos^(-1)x+B ,w ...

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  5. The differntial equation of all straight line passing through origin i...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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