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Find the differential equation whose gen...

Find the differential equation whose general solution is `ax^(2)+by=1,` where a and b are arbitrary constants.

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The correct Answer is:
`:. x(d^(2)y)/(dx^(2))-(dy)/(dx)=0`
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ARIHANT PRAKASHAN-DIFFERENTIAL EQUATIONS -TOPIC-1 (PRACTICE QUESTION) (4 MARK Questions)
  1. Find the particular solution of the differential equation (d^(2)y)/(...

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

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  3. Find the differential equation whose general solution is ax^(2)+by=1,...

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  4. Solve (dy)/(dt)=e^(2t+3y).

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  5. Find the differential equation whose general solution is y = a cos x +...

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  6. Find the particular solution of the differential equation (dy)/(dx)+(1...

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  7. Find the differential equation whose general solution is C(1)x^(2)+C(2...

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  8. Find the differential equation whose general solution is ax^(2)+by=c...

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  9. Solve the following differential equation x dx+y^(2)dy =0

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  10. Solve (d^(2)y)/(dx^(2))=e^(2x)

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  11. Find the solution of (dy)/(dx)=3

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  12. Solve (d^(2)y)/(dx^(2))=x+2, .

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  13. Solve (dy)/(dx)=(x)/(3y^(2)+4y)

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  14. Solve the following differential equation 2dy+ dx=0.

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  15. Form the differential equation whose general solution is y= ae^(x)+bx

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  16. Find the differential equation whose general solution is y = at + be^t

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  17. Solve (x^(2)+1)(dy)/(dx)+4x^(2)y=0.

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  18. Solve (dy)/(dx)=x+1.

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  19. Solve (dy)/(dx) = cos 2x cos x, if y=2, when. x = 0.

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  20. Solve (dy)/(dx)=(1+y^(2))/(sqrt(1-x^(2))), If y = 1, when x=0.

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