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Solve the following differential equation: xdxdy=y−xtan(xy)
If y=3cos(logx)+4sin(logx), then show that x2dx2d2 y˙+dxdy+y=0
Prove that x2−y2=c(x2+y2)2is the general solution of differential equation (x3−2xy2)dx=(y3−3x2y)dy, where c is a parameter.
Find the general solution of the differential equations:(1+x2)dy+2xydx=cotxdx(x=0)
Form the differential equation representing the family of ellipses having foci on x-axis and centre at the origin.
Solve the following differential equation: [xe−2 x−xy]dydx=1, x =0
Find the general solution of the differential equations dxdy+y=1(y=1)
Solve the differential equation dxdy+ycotx=2cosx,given that y=0,when x=2π˙