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Find differential equation of the curve ...

Find differential equation of the curve `y=ae^(3x)+be^(5x)`.

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The correct Answer is:
:. Required differential equation is
`(d^(2)y)/(dx^(2))-8(dy/dx)+15" "y=0`
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ARIHANT PRAKASHAN-DIFFERENTIAL EQUATIONS -TOPIC-1 (PRACTICE QUESTION) (4 MARK Questions)
  1. Find differential equation of the curve y=ae^(3x)+be^(5x).

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  2. From the differential equation whose general solution is y=asint+be^t.

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

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  4. Find the particular solution of the differential equation (d^(2)y)/(...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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