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Solve the differential equation: (1+y^2)...

Solve the differential equation: `(1+y^2)+(x - e^(tan^-1 y) )dy/dx = 0`

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. Solve the equation (x+y+1)((dy)/(dx))=1

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  2. Solve the equation (dy)/(dx)+ycotx=sinx

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  3. Solve the differential equation: (1+y^2)+(x - e^(tan^-1 y) )dy/dx = 0

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  4. Solve ydx-xdy+logxdx=0

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  5. Solve the differential equation [(e^(-2sqrtx))/(sqrtx) - (y)/(sqrtx)](...

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  6. Find the order and degree of the following differential equation: sin^...

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  7. Find the order and degree of the following differential equation: e^(...

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  8. Find the order and degree of the following differential equation: (dy)...

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  9. Find the curve for which the perpendicular from the foot of the ord...

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  10. Find the orthogonal trajectories of xy=c.

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  11. Find the order and degree of the following differential equation: (d^2...

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  12. Find the order and degree of the following differential equation: ln((...

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

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  14. The rate at which a substance cools in moving air is proportional to ...

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  15. Find the equation of the curve in which the subnormal varies as the ...

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  16. Solve: (dy)/(dx) = (siny+x)/(sin2y-xcosy)

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  17. Solve (x-1)dy+ydx=x(x-1)y^(1/3)dxdot

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  18. A normal is drawn at a point P(x , y) of a curve. It meets the x-axis...

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  19. Find the curve for which the length of normal is equal to the radius v...

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  20. What is the integrating factor of the differential equation (1-y^2)(dx...

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