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Solve the following differential equatio...

Solve the following differential equations: `(1+x)(1+y^2)dx+(1+y)(1+x^2)dy=0`

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Solve the following differential equations: (1+x)(1+y^2)dx+(1+y)(1+x^2...

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  2. Solve the differential equation (dy)/(dx)=(2x(logx+1))/(siny+ycosy), g...

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  3. Solve the following differential equations: (dy)/(dx)=e^(x+y)+e^y x^3

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  4. Solve the following differential equations: (dy)/(dx)=(e^x(2x+sin2x))/...

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  5. Solve: (i) sin^(-1)((dy)/(dx))=x+y (ii) (dy)/(dx)=cos(x+y) (iii) (dy)/...

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  6. Solve: (x+y)^2(dy)/(dx)=a^2

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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