A curve passes through the point (1,6π) . Let the slope of the curve at each point (x,y) be xy+sec(xy),x>0. Then the equation of the curve is
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The number of arbitrary constants in the general solution of a differential equationof fourth order are:(A) 0 (B) 2 (C) 3 (D) 4
Show that the general solution of the differential equation dxdy+x2+x+1y2+y+1=0 is given by (x+y+1)=A(1−x−y−2xy) where A is a parameter
The general solution of a differential equation of the type dydx+P1x=Q1is(A) ye∫P1dy=∫(Q1e∫P1dy)dy+C (B) ye˙∫P1dx=∫(Q1e∫P1dx)dx+C(C) xe∫P1dy=∫(Q1e∫P1dy)dy+C (D) xe∫p1dx=∫Q1e∫p1dxdx+C
Find the general solution of the differential equations y log y dx – x dy = 0
Which of the following differential equations has y=c1ex+c2e−xas the general solution?(A) dx2d2y+y=0 (B) dx2d2y−y=0 (C) dx2d2y+1=0 (D) dx2d2y−1=0
Find a particular solution of the differential equation dydx+ycotx=1(x=0)4xcosecx(x=0), given that y=0when x=2π
In a bank, principal increases continuously at the rate of 5% per year. In how many years Rs 1000 double itself?
Form the differential equation of the family of circles touching the y-axis at origin.