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Solve the following differential equatio...

Solve the following differential equations
`(dy)/( dx) = sqrt(4 - y^2) ( -2 lt y lt 2)`

Text Solution

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The correct Answer is:
`y =2 sin (x + C)`
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BETTER CHOICE PUBLICATION-DIFFERENTIAL EQUATIONS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Form the differential equation representing the family of parabolas ha...

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  2. Form the differential equation representing the family of ellipses hav...

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  3. Solve the following differential equations (dy)/( dx) = sqrt(4 - y^2...

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

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

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  6. Show that the given differential equation is homogeneous and solve it:...

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  7. Find the differential equation from the equation : y=e^x(a cos 2x +b s...

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

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

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

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

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

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

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

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

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

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

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

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

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

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