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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)


Annihilator method obtain a particular solution y"'+y=cosx+sinx on R
(1+x)
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 it
(D^2+DD'-2D'^2)z= (y-1)e^x
Solve it
(D^2+DD'-6D'^2)z= ysinx

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.