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Solve the following differential equatio...

Solve the following differential equations.
`dy/dx+e^y/y=0

Text Solution

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The correct Answer is:
`x=(y+1)e^(-y)+c`
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ARIHANT PUBLICATION-DIFFERENTIAL EQUATION-ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 11A)
  1. Solve the following differential equations. dy/dx=y^2+2y

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  2. Solve the following differential equations. dy+(y^2+1)dx=0

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  3. Solve the following differential equations. dy/dx+e^y/y=0

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  4. Solve the following differential equations. dx+cot x dt=0

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  5. Obtain the general solution of the following differential equations. d...

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  6. Obtain the general solution of the following differential equations. d...

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  7. Obtain the general solution of the following differential equations. d...

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  8. Obtain the general solution of the following differential equations. d...

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  9. Obtain the general solution of the following differential equations. x...

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  10. Obtain the general solution of the following differential equations. t...

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  11. Obtain the general solution of the following differential equations. (...

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  12. Obtain the general solution of the following differential equations. y...

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  13. Solve the following second order equation (d^2y)/dx^2=12x^2+2x

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  14. Solve the following second order equations (d^(2)y)/(dt^2)= e^(2t)+e...

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  15. Solve the following second order equation (d^2y)/(dvartheta^2)=-sinva...

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  16. Solve the following second order equations cosec x(d^(2)y)/(dx^2)=x

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  17. Solve the following second order equation x^2(d^2y)/dx^2+2=0

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  18. Solve the following second order equation secx(d^2y)/dx^2=sin3x

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  19. Solve the following second order equations (d^(2)y)/(dx^2)= sec^(2)x...

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  20. solve:e^-x(d^2y)/dx^2=x

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