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The equation of the curve passing throug...

The equation of the curve passing through the point `(1,pi/4)` and having a slope of tangent at any point (x,y) as `y/x - cos^2(y/x)` is

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Solve the initial value problem: cos(x+y)dy=dx ,y(0)=0.

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  2. Solve: dy/dx = sin(x+y) + cos(x+y)

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  3. The equation of the curve passing through the point (1,pi/4) and havin...

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  4. A curve y=f(x) has the property that the perpendicular distance of the...

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  5. The slope of a curve at any point is the reciprocal of twice the ordin...

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  6. The normal lines to a given curve at each point pass through (2,0)d...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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