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If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))...

If `y=y(x)` and `(2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1,` then `y(pi/2)` equals

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
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  2. The solution of the equation log ((dy)/(dx))=a x+b y is

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

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  4. The equation of the curves through the point (1, 0) and whose slope...

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  5. The solution of (d v)/(dt)+k/m v=-g is

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  6. The solution of the equation (dy)/(dx)=cos(x-y) is

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  7. The solution of the equation (x^2y+x^2)dx+y^2(x-1)dy=0 is given by

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  8. Solution of differential equation dy-sinxsiny dx=0 is

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  9. Solution of (dy)/(dx)+2x y=y is

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  10. The general solution of the differential equation (dy)/(dx)+sin((x+y)/...

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  11. The solution of (x d x+y dy)/(x dy-y dx)=sqrt((1-x^2-y^2)/(x^2+y^2)) ...

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  12. The curve for which the length of the normal is equal to the length ...

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  13. Identify the statement(s) which is/are true. (a) f( x , y )= e^( y...

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  14. The graph of the function y=f(x) passing through the point (0,1) a...

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  15. The solution of (dy)/(dx)=(a x+h)/(b y+k) represent a parabola whe...

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  16. The equation of the curve satisfying the differential equation y2 (x...

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  17. y=ae^(-1/x)+b is a solution of dy/dx=y/x^2,then (a)ainR (b)b=0 (c)b...

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  20. The solution of the differential equation (x^2y^2-1)dy+2xy^3dx=0 is

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