Solve the given differential equation by separation of variables.  `e^y sin 2xdx + cosx(e^2y -y) dy=0` Solution: To solve the differential...

Solve the given differential equation by separation of variables.    `sec^2 xdy + cscydx = 0` Solution: To solve this differentia...

Solve the given differential equation by separation of variables. `dy/dx = ((2y+3)/(4x+5))^2` Solution: Start by isolating `dy` on...

Solve the Differential equation `(3x^2 + 9xy + 5y^2)dx - (6x^2 + 4xy)dy = 0);        y(2) = -6`  Sol: `(3x^2 + 9xy...