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Find the general solutions of the following differential equations.`dy/dx+y=e^(-x)`

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CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Solve the following differential equations.(11)x^2 dy/dx=xy+y^2

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

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  3. Find the general solutions of the following differential equations.dy/...

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  4. Find the general solutions of the following differential equations.x s...

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  5. Find the general solutions of the following differential equations.y l...

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  6. Find the general solutions of the following differential equations.(1+...

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  7. Find the equation of the curve passing through the point(0,2) given th...

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  8. The rate at which the population of a city increases varies as the pop...

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  9. The rate of increase in the numbers of bacteria culture is proportiona...

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  10. Bacteria multiply at the rate proportional to the number of bacteria p...

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  11. An ice ball melts at the rate proportional to the amount of ice at any...

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  12. The rate of decay of the mass of a radioactive substance at any time i...

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  13. Bacteria grow at rate proportional to the number of bacteria present i...

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  14. The order and degree of differential equation sqrt((1+(dy/dx)^2)=((d^2...

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  15. The differential equation of y=c^2+c/x is

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  16. x^2+y^2=a^2 is a solution of

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  17. The differential equation of all circles having their centre on the y=...

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  18. The differential equation y dy/dx+x=0 represents family of……..

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  19. The solution of 1/x dy/dx=tan^(-1)x is……….

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  20. The solution of (x+y)^2 dy/dx=1 is…………

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