Find the solution of the given differential equation and then find the particular solution for which a point (x,y) is given:
dy/dx = x
Find the solution of the given differential equation and then find the particular solution for which a point (x,y) is given:
dy/dx = (3x - 4)
y′ =y/x(x-x^3) ; y = −2 when x = 2
Solve the differential equation given by
(3x + 2y + y^2)dx + (x+4xy+5y^2)dy=0
Solve the following homogeneous differential equation 2x3 y' = y(2x2− y2)
Initially 100milligrams of a radioactive substance was present. After 6 hours the mass has decreased by 3%. The rate of decay is proportional to the amount of the substance present at time t. Determine the half-life of the radioactive substance.