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Find the order and degree of ((d^(2)y)...

Find the order and degree of
`((d^(2)y)/(dx^(2))+((dy)/(dx))^(3))^((6)/(5))=6y`

Answer

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Find the order and degree of (d^2y)/(dx^2)=[1+((dy)/(dx))^2]^(5//3)

Find the order and degree of 1+((d^2y)/(dx^2))^2 =[2+((dy)/(dx))^2]^(3//2)

Knowledge Check

  • The order and degree of ((d^(4)y)/(dx^(4)) + (d^(2)y)/(dx^(2)))^((5)/(2)) = a(d^(2)y)/(dx^(2)) are p,q then p+q =

    A
    9
    B
    6
    C
    7
    D
    10

  • The order and degree of the differential equation ((d^(2)y)/(dx^(2)) + ((dy)/(dx))^(3))^(6//5) = 6y is

    A
    2,1
    B
    1,2
    C
    2,6
    D
    6,2

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    Find the order and degree of ((d^(3)y)/(dx^(3)))^(2)-3((dy)/(dx))^(2)-e^(x)=4 .

    Find the order and degree of [((dy)/(dx))^(1//2)+((d^2y)/(dx^2))^(1//2)]^(1//4)=0

    Find the order and degree of the D.E (d^(2)y)/(dx^(2)) + 2(dy)/(dx) + y = log((dy)/(dx))

    For each of the differential equations given below, indicate its order and degree(if defined). (i) (d^(2)y)/(dx^(2))+ 5x((dy)/(dx))^(2) - 6y = log x (ii) ((dy)/(dx))^(3) - 4((dy)/(dx))^(2) + 7y = sin x (iii) (d^(4)y)/(dx^(4)) - sin ((d^(3)y)/(dx^(3)) = 0

    Find the order and degree of the D.E x^(1//2)((d^2y)/(dx^2))^(1/3)+x(dy)/(dx)+y=0 .

    Find the order and degree of the differential equation [(d^(2)y)/(dx^(2)) + ((dy)/(dx))^(3)]^(6"/"5) = 6y .

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