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The graph of the function y=f(x) passin...

The graph of the function `y=f(x)` passing through the point (0,1) and satisfying the differential equation `(dy)/(dx)+ycosx=cosx` is such that (a) it is a constant function. (b) it is periodic (c) it is neither an even nor an odd function. (d) it is continuous and differentiable for all ` f(x )`

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. The curve for which the length of the normal is equal to the length ...

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

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

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

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

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  6. 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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  7. For equation of the curve whose subnormal is constant, then (a) it...

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  8. If f(x), g(x) be twice differentiable functions on [0,2] satisfying f'...

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

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  10. The solution of (x^2dy)/(dx)-x y=1+cos(y/x) is

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  11. The solution of (x+y+1)dy=dx is

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  12. Solve x((dy)/(dx))=y(logy-logx+1)

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  13. The slope of the tangent at (x , y) to a curve passing through (1,...

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  14. The solution of (x^(2)+xy)dy=(x^(2)+y^(2))dx is

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  15. The solution of differential equation y y^(prime)=x((y^2)/(x^2)+(f((y...

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  16. The solution of (y+x+5)dy=(y-x+1)dx is

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  17. Solution of the differential equation (y+xsqrt(x y)(x+y))dx+(ysqrt(x y...

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  18. The slope of the tangent at (x , y) to a curve passing through a p...

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  19. If x(dy)/(dx)=x^(2)+y-2, y(1)=1, then y(2) equals ………………..

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  20. If y=y(x) and it follows the relation 4x e^(x y)=y+5sin^2x , then ...

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