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Find the order and degree of the followi...

Find the order and degree of the following differential equations :
`((d^(2)y)/(dx^2))^(3)+2((dy)/(dx))^(4)+6= cos x`

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Verified by Experts

The correct Answer is:
order =2, degree=3
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ARIHANT PUBLICATION-DIFFERENTIAL EQUATION-CHAPTER PRACTICE (VERY SHORT ANSWER TYPE QUESTIONS)
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  7. State whether y= e^(-x)(x+a) is a solution of differential equation (d...

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  8. Verify that the function y= a cos x+b sin x, where a, b in R is a solu...

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  9. Show that the function y=(A+Bx)e^(3x) is a solution of the equation (d...

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  10. Show that y= Cx+(a)/(C ) is a solution of differential equation y= x(d...

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  11. Prove that xy= ae^(x)+be^(-x)+x^(2) is the general solution of the dif...

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  12. Show that the function phi, defined by phi(x)= cos x(x in R), satisfie...

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  13. Find the differential equation of the family of all straight lines.

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  14. Write the differential equation of all non-horizontal lines in a plane...

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  15. Write the differential equation representing the family of curves y= m...

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  16. Find the differential equation of the family of concentric circles hav...

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  17. Find the differential equation of the family of curves y= Ae^(x)+Be^(-...

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  18. Form the differential equation by aliminating A and B in Ax^(2)+By^(2)...

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  19. Find the differential equation corresponding to curve y= a cos (x+b), ...

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  20. Solve the following differential equations : (dy)/(dx)= sqrt(1-y^2),...

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