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Solve the differential equation x (1 + ...

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

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Find the particular solution of the differential equation (1+e^(2x))dy...

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  2. Solve the differential equation: (1+y^2)(1+logx)dx+x dy=0 given that w...

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

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  4. Solve: (x^2-y x^2)dy+(y^2+x^2y^2)dx=0 given that, y=1, when x=1

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  5. Solve : 3e^xtany dx+(1-e^x)sec^2y\ dy=0

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  6. Solve: sin^3x(dx)/(dy)=siny

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  7. Solve the differential equation(dy)/(dx)+sqrt((1-y^2)/(1-x^2))=0

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  8. The solution of the differential equation dy/dx=e^(x-y)+x^2e^(-y) is ...

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  9. Solve: (dy)/(dx)=(1+y^2)/(1+x^2)

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  10. Find dy/dx if y= x.tanx .

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  11. Solve the initial value problem: (x+1)(dy)/(dx)=2e^(-y)-1,\ y(0)=0

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  12. Solve the initial value problem: y-x(dy)/(dx)=2(1+x^2(dy)/(dx)),\ y(1)...

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  13. Show that the general solution of the differentia equation (dy)/(dx)...

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  14. Solve the following differential equation log ((dy)/(dx))=3x+4y

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  15. In a bank, principal increases continuously at the rate of 5% per y...

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  16. Find the equation of the curve passing through the point (0, -2) gi...

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  17. At any point (x, y) of a curve, the slope of the tangent is twice t...

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  18. Solve the following differential equation: (x+1)(dy)/(dx)=2x y

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

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

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