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Find the differential equation from the equation : `y=e^x(a cos 2x +b sin2x )` where a and b are arbitrary constants.

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The correct Answer is:
`y_(2) - 2y_1 + 5y = 0`
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BETTER CHOICE PUBLICATION-DIFFERENTIAL EQUATIONS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Solve the following differential equations (x^2 + xy ) dy = ( x^(2) ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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