If `y = e^(3tan^-1 x)`, then show that `(1+x^2)^2 (d^2y)/(dx^2) + 2x(1+x^2)dy/dx = 9y`

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If y = e^(2tan^-1 x) , then show that (1+x^2)^2 (d^2y)/(dx^2) + 2x(1+x^2)dy/dx = 4y

If y = e^(4tan^-1 x) , then show that (1+x^2)^2 (d^2y)/(dx^2) + 2x(1+x^2)dy/dx = 16y

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