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The curve satisfying the equation (dy)/(...

The curve satisfying the equation `(dy)/(dx)=(y(x+y^3))/(x(y^3-x))` and passing through the point `(4,-2)` is

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(dy)/(dx)=(3x+2y)/(2x-3y)

(dy)/(dx)=(2x+3y)/(3x+2y)

(dy)/(dx)=(2x-3y)/(3x-2y)

(dy)/(dx)=(x+y)/(2(x+y)+3)

(dy)/(dx)=(3x+4y+1)/(-4x+2y-3)

(dy)/(dx)=(2x-3y+4)/(3x+4y-5)

Solve (dy)/(dx)=(x+2y+3)/(2x+3y+4)

Solve : (dy)/(dx)=(x-3y)/(3x+y)

The equation of the curve satisfying the differential equation y_2 (x^2+1)=2x y_1 passing through the point (0,1) and having slope of tangent at x=0 as 3 (where y_2 and y_1 represent 2nd and 1st order derivative), then

Solve: (dy)/(dx)=(3x + 4y+1)/(-4x+2y-3)

CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. The solution of the differential equation (e^x+e^(-x))dy-(e^x-e^(-x))d...

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  2. The solution of the differential equation (x+2y^3)((dy)/(dx))=y is

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  3. The curve satisfying the equation (dy)/(dx)=(y(x+y^3))/(x(y^3-x)) and...

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  4. The solution of y e^(-x/y)dx-(x e^((-x/y))+y^3)dy=0 is

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  5. The solution of differential equation (2y+x y^3)dx+(x+x^2y^2)dy=0 is

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  6. If y+x(dy)/(dx) = x(phi(xy))/(phi^(')(xy)), then phi(xy) is equal to

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  7. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0) = 0,x in R ,...

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  8. Let f:[1,oo) → [2, ∞) be a differentiable function such that f(1)=2...

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  9. If y(x) satisfies the differential equation y^(prime)-ytanx=2xs e c ...

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  10. Consider the family of all circles whose centers lie on the straight l...

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  11. Let y(x) be a solution of the differential equation (1+e^x)y^(prime)+y...

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  12. Let f be a real-valued differentiable function on R (the set of al...

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  13. The function y=f(x) is the solution of the differential equation (...

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  14. The order of the differential equation whose general solution is gi...

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  15. The differential equation representing the family of curves y^2=2c(x+s...

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  16. A curve y=f(x) passes through (1,1) and tangent at P(x , y) cuts t...

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  17. A curve is such that the mid-point of the portion of the tangent inter...

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  18. The equation of a curve passing through (2,7/2) and having gradien...

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  19. The equation of the curve which is such that the portion of the axi...

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  20. A normal at P(x , y) on a curve meets the x-axis at Q and N is t...

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