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Solve the equation (1+x^2)(dy)/(dx)+(1+y...

Solve the equation `(1+x^2)(dy)/(dx)+(1+y^2)=0`, given that y=1, when x=0

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Solve the following differential equations: logydy+x^2y dx=0.

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  2. Solve the equation sqrt(1-x^2)dy+sqrt(1-y^2)dx=0, given that when x=1,...

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  3. Solve the equation (1+x^2)(dy)/(dx)+(1+y^2)=0, given that y=1, when x=...

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  4. Solve (dy)/(dx)=e^(x-y)+x^(2)e^(-y).

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  5. Given that (dy)/(dx)=ye^x and y=e when x=0. find y when x=1

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  6. If y(x) is a solution of the differential equation ((2+sinx)/(1+y))(dy...

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  7. Solve the following initial value problems: y'=secy, y(0)=0

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  8. Solve the following initial value problems: 2xy'=3y,y(1)=4

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  9. Solve the following initial value problems: y'=ycot2x, y(pi/4)=2

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  10. Solve the following initial value problems: (dy)/(dx)=1+x+y^2+xy^2, y(...

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  11. Solve the following initial value problems: e^xsqrt(1-y^2)dx+(y//x)dy=...

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  12. Find the particular solution of sin((dy)/(dx))=a, given that y=1 when ...

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  13. Find the equation of the curve through the point (1,0) if the slope of...

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  14. Find the particular solution of the differential equation e^((dy)/(dx)...

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  15. A population grows at the rate of 2.5% per annum. How long does it tak...

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  16. The volume of spherical balloon being inflated changes at a constant r...

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  17. The temperature T of a cooling object drops at a rate proportional to ...

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  18. The equation of curve for which the normal at every point passes throu...

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  19. Experiments show that radium decomposes at a rate proportioanl to the ...

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  20. The rate of increase of bacterial in a certain culture is proportional...

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