In a bank, principal increases continuously at the rate of r% per year. Find the value of r if Rs 100 double itself in 10 years (loge2=0.6931)
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The solution of the differential equation (xcoty+logcosx)dy+(logsiny−ytanx)dx=0 is
The curve with the property that the projection of the ordinate on the normal is constant and has a length equal to a is
What is the integrating factor of the differential equation (1−y2)dydx+xy=ay(−1<y<1)
Find the differential equation of all the ellipses whose center is at origin and axis are co-ordinate axis.
The solutions of (x+y+1) dy=dx are
Consider the equation a2+λx2+b2+λy2=1,
where a and b are specified constants and λ
is an arbitrary parameter. Find a differential equation satisfied by it.