If 2y=x(1+(dy)/(dx)), then show that y(2...

If `2y=x(1+(dy)/(dx))`, then show that `y_(2)` is a constant.

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If g(x)=x^(3)f(x),g...(1)=20, f(1)=2,f.(1)=1 and f..(1)=0 then find th...
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If 2z=x(2+(dz)/(dx)), then prove that (d^(2)z)/(dx^(2)) is a constant.
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If 2y=x(1+(dy)/(dx)), then show that y(2) is a constant.
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If y = e^(m cos^(-1) x) (1-x^2)y2-xy1 = m^2y
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If y=Ae^(mx)+Be^(nx) then show that (d^(2)y)/(dx^(2))-(m+n)(dy)/(dx)+m...
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If y=2sinx+3cosx , show that (d^2y)/(dx^2)+y=0 .
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