If y=3cos(logx)+4sin(logx), then show that x2dx2d2 y˙+dxdy+y=0
The Integrating Factor of the differential equation (1−y2)dydx+yx=ay , (−1<y<1)is
(A) y2−11 (B) y2−11 (C) 1−y21 (D) 1−y21
Find the equation of the curve passing through the point (0,4π)whose differential equation is sinxcosydx+cosxsinydy=0.
The general solution of the differential equation yydx−xdy=0is(A) xy=C (B) x=Cy2 (C) y=Cx (D) y=Cx2