Find the particular solution of the differential equation:(1+e2x)dy+(1+y2)exdx=0,given that y=1, when x=0.
Find the equation of a curve passing through the point (0, 2) given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5.
The general solution of the differential equation exdy+(yex+2x)dx=0is(A) xey+x2=C (B) xey+y2=C (C) yex+x2=C (D) yey+x2=C
Form the differential equation representing the family of curves y=mx, where, m is arbitrary constant.
The differential equations, find a particular solution satisfying the given condition: (1+x2)dxdy+2xy=1+x21;y=0when x=1