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Solve the following differential equatio...

Solve the following differential equations at its initial values
`(1 + e^(2x) ) dy + ( 1+ y^(2) ) e^(x) dx = 0, y = 1` when `x =0`

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The correct Answer is:
`tan^(-2) y = - tan^(-1) e^(x) + (pi)/(2)`
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BETTER CHOICE PUBLICATION-DIFFERENTIAL EQUATIONS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Find the differential equation from the equation : y=e^x(a cos 2x +b s...

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  2. Solve the following differential equations at its initial values x (...

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  3. Solve the following differential equations at its initial values (1 ...

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  4. Solve the differential equation, (3xy + y^2) dx = (x^2 + xy)dy

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  5. Find the general solution of the following (x^2 + xy ) dy +( 3xy + y...

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  6. Find the general solution of the following x (dy)/( dx) + y = x log ...

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  7. Find the general solution of the following x log x (dy)/( dx) + y = ...

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  8. Form the differential equation of the family of hyperbolas having foci...

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  9. Solve the following differential equations e^(x) tan ydx + (1-e^(x) ...

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

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  11. Solve the following differential equations x (dy)/(dx) - y + x sin (...

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  12. Solve : dy/dx + 2y = sin x

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

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  14. Solve the following differential equations (x^(2) y + x^(2) ) dx + (...

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  15. Solve the following differential equations x cos (y/x) (dy)/( dx) = ...

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  16. Solve the following differential equations y dx + x (log ""(y)/( x))...

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  17. Find the particular solution of the differential equation ; log (dy/dx...

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  18. Solve the following differential equation dy/dx = x^5 + x^2 - 2/x

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  19. Find the general solution of the Differential Equation : 2xy dx + (x^2...

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

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