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Home  >>  CBSE XII  >>  Math  >>  Model Papers

Solve the following differential equation : $ \cos^2\: x\large\frac{dy}{dx}$$+y=\tan x$

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divided by cos^2x on both sides dy/dx+y/cos^x=tanx/cos^2x compare it with dy/dx+Py=Q Find integrated factor e^integration of P.dx =e^tanx now ... y.e^tanx=integration of tanx/cos^2x.e^tanx.dx y.e^tanx=integration of tanx.sec^2x.e^tanx.dx y.e^tanx=e^tanx(tanx-1)+c
answered Jan 27 by chodadeepak14