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Verify that y=e^x(acosx+csinx) is a solu...

Verify that `y=e^x(acosx+csinx)` is a solution of the differential equation `(d^2y)/dx^2-2(dy)/(dx)+2y=0`

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Verify tht y=e^(x) cos bx is a solution of the differential equation (d^(2)y)/(dx^(2))-2(dy)/(dx)+2y=0.

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Knowledge Check

  • Solution of the differential equation (dy)/(dx)+(x-2y)/(2x-y)=0 is

    A
    `(x+y)^(3)=c(y-x)`
    B
    `(x+y)^(3)=c(x-y)`
    C
    `(x-y)^(3)=c(x+y)`
    D
    `(x-y)^(3)=c(x+y)^(2)`

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