Q.15 A solution of differential equation (sec? y) ix + 2x tan y=x ? is (A)2 tan y=c.ex?+x2-1 (B) tan y=ce ** + x2-1 (C) tan y=cen? + x2-1 (D) None of these

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( left(sec ^{2} yright) frac{d y}{d x}+2 x tan y=x^{3} ) pre ( tan y=t ) ( operatorname{sen}^{2} y frac{d y}{d x}=frac{d t}{d x} ) ( frac{d t}{d x}+2 x t=x^{3} ) ( I f=e^{int e x d x}=e^{x^{2}} ) ( frac{4}{t} e^{x^{2}}=int e^{x^{2}} x^{3} d x+c ) Prt ( quad frac{x^{2}}{2 x-1}=t_{1} ) ( left(2 x^{2}right) d x=d t_{1} ) y ( t e^{x^{2}}=frac{1}{2} int ln t, d t, quad+c ) ( 2 t e^{x^{2}}=t_{1} ln t_{1}-t_{1}+c ) ( 2 tan y e^{x^{2}}=e^{x^{2}} x^{2}-e^{x^{2}}+c ) ( S ) ( z tan y=left(x^{2}-1right)+c e^{-x^{2}} )

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