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Write the order and the degree of the di...

Write the order and the degree of the diffential equation
`x((d^(3)y)/(dx^(3)))^(2)+((dy)/(dx))^(4)+y^(2)=0.`

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Verified by Experts

In the given equation, the highest-order derivative is `(d^(3)y)/(dx^(3))` and its power is 2.
`therefore` its order = 3 and degree =2.
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RS AGGARWAL-DIFFERENTIAL EQUATIONS AND THEIR FORMATION -Exercise 18C
  1. Write the order and the degree of the diffential equation x((d^(3)y)...

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  2. Write the differential equation formed from the equation y=m x+c , ...

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  3. From the differential equation of the family of concentric circles x^(...

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  4. From the differential equation of the family of curves, y=a sin(bx+c),...

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  5. Find the differential equation of the family of curves, x=A\ cos n ...

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  6. Form the differential equation of the family of curves "y"="A e"^("...

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  7. From the differential equation of the family of curves y^(2)=m(a^(2)-x...

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  8. Form the differential equation representing the family of curves give...

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  9. From the differential equation of the family of curves given by x^(2)+...

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  10. Form the differential equation of the family of circles touching th...

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  11. Form a differential equation of family of all circles having center on...

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  12. Form the differential equation of the family of circles in the seco...

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  13. From the differential equaiton of the family of circles having coentre...

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  14. Obtain the differential equation of the family of circles passing thro...

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  15. Form the differential equation of the family of parabolas having ve...

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  16. Form the differential equation of the family of ellipses having foc...

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  17. Form the differential equation of the family of hyperbola having fo...

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