Ex 9.2, 4 - Verify solution: y = root 1 + x2, y' = xy/1+x2 - Ex 9.2

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  1. Chapter 9 Class 12 Differential Equations
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Ex 9.2, 4 Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation : = (1+ ^2 ) : ^ = /(1+ ^2 ) = (1+ ^2 ) / = / ( (1+ ^2 ))=1/(2(1 + ^2 )" " ^(1/2) ) [2 ]= / (1 + ^2 ) Now, we have to verify ^ = /(1 + ^2 ) Taking L.H.S ^ = / (1 + ^2 ) = /( (1 + ^2 ) ) / = /( (1 + ^2 (1 + 2)) ) = /(1 + ^2 ) = R.H.S Hence Verified

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