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Find the particular solution of the differential equation `(dy)/(dx)=-4x y^2` given that `y=1,w h e nx=0.`

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Solve: (x+y)^2(dy)/(dx)=a^2

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  2. Find the solution of the differential equation cos ydy+cosxsinydx=0 gi...

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  3. Find the particular solution of the differential equation (dy)/(dx)...

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  4. Solve the initial value problem: cos(x+y)dy=dx ,y(0)=0.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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