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Solution of the differential equation si...

Solution of the differential equation `sin((dy)/(dx))=a` with `y(0)=1` is

A

`sin^(-1)((y-1)/x)=a`

B

`sin((y-1)/x)=a`

C

`sin((1-y)/(1+x))=a`

D

`sin (y/(x+1))=a `

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
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  2. The particular solution of the differential equation y(1+log x...

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  3. Solution of the differential equation sin((dy)/(dx))=a with y(0)=1 is

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  4. if y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2)= ...

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  5. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

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  6. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

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  7. At any point on a curve , the slope of the tangent is equal to the sum...

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  8. The general solution of the D.E. (dy)/(dx)=(x+y+1)/(x+y-1) is :

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  9. solution of (x + y)^2(dy)/(dx)=a^2. ('a', being a constant) is

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  10. Solution of the differential equation (x+y-1)dx+(2x+2y-3)dy=0 is

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  11. The solution of the differential equation (dy)/(dx) = (x-2y+1)/(2x...

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  12. The solution of the differential equation (2x-4y+3)(dy)/(dx)+(x-2y+1)...

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  13. The solution of cos(x + y) dy = dx is

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  14. The general solution of differential equation (dx) /( dy) = co...

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  15. The solution of the differential equation (dy)/(dx)="tan"((y)/(x))+(y)...

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  16. The solution of the equation (dy)/(dx)=(x+y)/(x-y), is

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  17. Show that the differential equation (dy)/(dx) = y^2/ (xy - x^2) is ho...

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  18. The general solution of the differential equation (x^2+xy)y'=y^2 is

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  19. The solution of the differential equ (x^2 + y^2) dx = 2 xy dy is-

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  20. The general solution of differential equation dy/dx=(x+y)/(x-y) is

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