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The slope of the tangent at (x , y) to ...

The slope of the tangent at `(x , y)` to a curve passing through a point `(2,1)` is `(x^2+y^2)/(2x y)` , then the equation of the curve is

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Show that the curve for which the normal at every point passes thro...

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  2. If the tangent at any point P of a curve meets the axis of XinTdot fin...

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

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  4. Find the equation of a curve passing through the point (1, 1), given t...

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  5. Solve the differential equation ( x + y) dy + (x - y) dx = 0; given th...

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  6. Solve the following differential equations: (dy)/(dx)-1=e^(x-y)

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  7. Solve: (x^3-3x y^2)dx=(y^3-3x^2y)dydot

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  8. Solve: x^2 ydx=(x^ 3+y ^3)dy

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  9. Solve the following differential equations: (x+y)^2(dy)/(dx)=1

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  10. Solve the following differential equations: (dy)/(dx)=((x-y)+3)/(2(x-y...

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  11. Solve the following differential equations: (x+y+1)(dy)/(dx)=1

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  12. Solve the following differential equations: (x+y)(dx-dy)=dx+dy

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  13. Solve x (dy)/(dx)sin(y/x)+x-ysin(y/x)=0 given y(1)=pi/2

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  14. Solve: x(dy)/(dx)=y-xtan(y/x)dot

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  15. A thermometer reading 80^@F is taken outside. Five minutes later the t...

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  16. The doctor took the temperature of a dead body at 11.30 Pm which was 9...

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  17. If is given that radium decomposes at a rate proportional to the am...

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  18. A radioactive substance disintegrates at as rate proportional to th...

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  19. If is known that, if the interest is compounded continuously, the pr...

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  20. It given that the rate at which some bacteria multiply is proportio...

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