यदि `y = e ^(tan^(-1) x)`, तो सिद्ध कीजिए कि
` (1+ x^(2) ) y_(2) + (2x - 1) y_(1) = 0 `

If y= (tan^(-1) x)^(2) show that (x^(2) + 1)^(2) y_(2) + 2x (x^(2) + 1)y_(1) = 2

y = e ^ (xx) x tan ^ (- 1) x, showthat (1 + x ^ (2)) y_ (2) -2 (1-x + x ^ (2)) y_ (1) + (1 -x ^ (2)) y = 0

If y = e^(m tan^-1 x) , then show that (1 +x^2) y_2 + (2x - m) y_1= 0 .

If e^(cot^(-1)x) Prove that (1+x^(2))y_(2) +(2x + 1)y_(1) = 0 .

If y=e^(tan^(-1)x), prove that (1+x^(2))y_(2)+(2x-1)y_(1)=0

If log y=tan^(-1)x, show that (1+x^(2))y_(2)+(2x-1)y_(1)=0