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Write the order of the differential equa...

Write the order of the differential equation whose solution is `y=acosx+b s in\ x+c e^(-x)dot`

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To find the order of the differential equation whose solution is given by \( y = a \cos x + b \sin x + c e^{-x} \), we will follow these steps: ### Step 1: Identify the form of the solution The given solution is: \[ y = a \cos x + b \sin x + c e^{-x} \] where \( a \), \( b \), and \( c \) are constants. ...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. If sinx is an integrating factor of the differential equation (dy)/...

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  2. Write the order of the differential equation of the family of circles ...

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  3. Write the order of the differential equation whose solution is y=ac...

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  4. Write the order of the differential equation associated with the pri...

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  5. What is the degree of the following differential equation? 5x\ ((d...

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  6. Write the degree of the differential equation ((dy)/(dx))^4+3x\ (d^2y)...

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  7. Form the differential equation representing the family of curves y"...

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  8. Write the degree of the differential equation x^3((d^2y)/(dx^2))^2+x\ ...

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  9. Write degree of the differential equation (1+(dy)/(dx))^3=((d^2y)/(dx^...

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  10. Determine the order and degree of each of the following differential...

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  11. Determine the order and degree of each of the following differentia...

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  12. The degree of the differential equation (d^2y)/(dx^2)+e^(dy//dx)=0.

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  13. The number of arbitrary constants in the particular solution of a d...

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  14. Write the order of the differential equation representing the family o...

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  15. Find the sum of the order and degree of the differential equation y...

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  16. Find the solution of the differential equation x\ sqrt(1+y^2)dx+y\ sqr...

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  17. find the solution of the following differential equation x logx (dy)/...

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  18. The general solution of the differential equation dy / dx = y / x is

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  19. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is

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  20. The degree of the differential equation ((d^2y)/(dx^2))^2-((dy)/(dx))=...

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