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Solve the following differential equatio...

Solve the following differential equations
`x(dy)/(dx)+y= xy^(2)`

Text Solution

Verified by Experts

The correct Answer is:
`(dv)/(dx)(-(1)/(x))v= -1`
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ARIHANT PUBLICATION-DIFFERENTIAL EQUATION-ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 11B)
  1. Solve the following differential equations (dy)/(dx)+y= e^(-x)

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  2. Solve the following differential equations (x^(2)-1)(dy)/(dx)+2xy=1

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  3. Solve the following differential equations (1-x^2)(dy)/(dx)+2xy= x s...

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  4. Solve the following differential equations x log x (dy)/(dx)+y= 2 lo...

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  5. Solve the following differential equations (1+x^2)(dy)/(dx)+2xy= cos...

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  6. Solve the following differential equations. dy/dx +y=sec x=tan x

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  7. Solve the following differential equations (x+tany)dy= sin 2y ""dx

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  8. Solve the following differential equations (x+2y^3)(dy)/(dx)= y

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  9. Solve the following differential equations. sin x dy/dx +3y=cos x

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  10. Solve the following differential equations (x+y+1)(dy)/(dx)=1

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  11. Solve the following differential equations (1+y^2)dx+(x-e^(-tan^(-1)...

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  12. Solve the following differential equations x(dy)/(dx)+y= xy^(2)

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  13. Solve the following differential equations x(dy)/(dx)+y= y^(2)log x

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  14. Solve the following differential equations. (1+x^2)dy/dx=xy-y^2

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  15. Solve the following differential equations. dy/dx+y/(x-1)=xy^(1/2)

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  16. Solve the following differential equations (dy)/(dx)+(y)/(x)=x^(2), ...

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  17. Solve the following differential equations (dy)/(dx)+2ytan x= sin x,...

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