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Determine the order and degree of each of the following differential equation. State also whether they are linear or non-linear: `(d^2y)/(dx^2)+5x((dy)/(dx))-6y=logx`

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Determine the order and degree of each of the following differential equation.State also whether they are linear or non-linear: (d^(2)y)/(dx^(2))+5x((dy)/(dx))-6y=log x

Determine the order and degree of each of the following differential equation.State also whether they are linear or non-linear: (d^(2)y)/(dx^(2))+4y=0

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Determine the order and degree of each of the following differential equation.State also whether they are linear or non-linear: (d^(2)y)/(dx^(2))=((dy)/(dx))^(2/3)

Determine the order and degree of each of the following differential equation.State also whether they are linear or non-linear: (d^(2)y)/(dx^(2))3=sqrt((dy)/(dx))

Determine the order and degree of each of the following differential equation.State also whether they are linear or non-linear: ((dy)/(dx))^(2)+(1)/(dy/dx)=2

Determine the order and degree of each of the following differential equation.State also whether they are linear or non-linear: (d^(2)y)/(dx^(2))+((dy)/(dx))^(2)+xy=0

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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Miscellaneous Exercise on Chapter 9
  1. Determine the order and degree of each of the following differentia...

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

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  3. Find the order and degree (if defined) of the equation: (d^4y)/(dx^4)...

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  4. For each of the exercises given below, verify that the given function...

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  5. The differential equation for y=e^(x)(acosx+bsinx) is

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  6. For each of the exercises given below, verify that the given function ...

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  7. if x^2=2y^2logy then prove (x^2+y^2)(dy)/(dx)-xy=0

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

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  9. Prove that x^2-y^2=c(x^2+y^2)^2is the general solution of differenti...

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  10. Form the differential equation of the family of circles in the firs...

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  11. Solve the differential equation(dy)/(dx)+sqrt((1-y^2)/(1-x^2))=0

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  12. Show that the general solution of the differentia equation (dy)/(dx...

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  13. Find the equation of the curve passing through the point (0,pi/4) w...

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  14. Find the particular solution of the differential equation (1+e^(2x))dy...

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  15. Solve the differential equation : y e^(x//y)dx=(x e^(x//y)+y^(2))dy(...

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  16. Solve (x-y)(dx+dy)=dx-dy, given that y=-1, where x=0.

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  17. Solve [(e^(-2sqrt(x)))/(sqrt(x))-y/(sqrt(x))](dx)/(dy)=1(x!=0

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  18. Find the particular solution of the differential equation. (dy)/(dx...

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  19. Find a particular solution of the differential equation (x+1)(dy)/(dx...

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  20. The population of a village increases continuously at the rate proport...

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