The function y=f(x) is the solution of the differential equation dxdy+x2−1xy=1−x2x4+2x in (−1,1) satisfying f(0)=0. Then ∫2323f(x)dx is
In a bank, principal increases continuously at the rate of 5% per year. In how many years Rs 1000 double itself?
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)
The number of arbitrary constants in the general solution of a differential equationof fourth order are:(A) 0 (B) 2 (C) 3 (D) 4
Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:x+y=tan−1y : y2yprime+y2+1=0
Form the differential equation of the family of ellipses having foci on y-axis and centre at origin.