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The slope of the tangent any point on a curve is `lambda` times the slope of the joining the point of contact to the origin. Formulate the differential equation and hence find the equation of the curve.

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. The normal lines to a given curve at each point pass through (2,0)d...

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  2. The slope of the tangent to a curve at any point (x ,y) on its given b...

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  3. The slope of the tangent any point on a curve is lambda times the slop...

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  4. Show that the curve for which the normal at every point passes thro...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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