Find a particular solution of the differential equation(x−y)(dx+dy)=dxdy, given that y=1, when x=0. (Hint: put x−y=t).
Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:y=x2+2x+C : yprime−2x−2=0
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)
In a bank, principal increases continuously at the rate of 5% per year. In how many years Rs 1000 double itself?
Find the equation of a curve passing through the point (2,3), given that the slope of the tangent to the curve at any point (x, y) is y22x.
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